Thermodynamics

Energy Conversion Examples: Where the Joules Actually Go

Definition

Energy conversion examples are the everyday chains in which one named form of energy becomes another: chemical to thermal in a flame, electrical to radiant in a lamp, gravitational to kinetic in anything falling. The joules themselves are never created or destroyed. They are only renamed, and some of them always end up as heat.

Switch a kettle on and listen. That rising roar is electrical energy arriving down a copper wire and leaving again as heat in the water, a little sound, and a faint warmth in the plug. Nothing in your kitchen has made any energy; the grid has simply handed some over.

Every device you own is a link in a chain like that one. Trace any of them far enough back and you arrive at sunlight or a nucleus; trace them far enough forward and you arrive at warm air. This page follows seven of those chains from one end to the other, counting the joules at every step.

What Is Energy Conversion?

Energy conversion is the change of energy from one named form into another, with the total unchanged: the joules that enter a device are the same joules that leave it, wearing different names.

The word doing the work there is named. Nothing physical happens to a joule when it converts; what changes is the label a physicist puts on it. A joule of chemical energy sitting in a battery and a joule of light leaving an LED are the same amount of the same quantity, described by where it is and what it is doing.

Two neighbouring ideas are worth keeping separate from the start. What energy is — the quantity, the joule, the forms it comes in — belongs to our guide to what energy actually is. That the running total never moves is conservation of energy, with its own equation and its own problems. This page asks the narrower question: what becomes what, and in which order?

The One Equation Behind Every Energy Conversion

There is no single energy conversion formula, because conversion is not one process with one equation of its own. What every conversion does obey is a bookkeeping line, and this is it.

Ein = Euseful + Ewaste
  • Ein — the energy supplied to the device, in joules (J).
  • Euseful — the part that leaves in the form you wanted, in joules (J).
  • Ewaste — the part that leaves in a form you did not want, nearly always heat, in joules (J).

That is an equals sign, not an approximation. It is also the only check a conversion problem needs: add the outputs and the input must come back, to the last joule.

Useful and wasted are human words rather than physical ones. The heat pouring off a filament lamp is wasted if you wanted light and useful if you are warming a chick brooder, and the joules are identical in both rooms.

Putting a number on any of those three terms means reaching for the equation that belongs to the form being counted. Five of them cover nearly every example on this page.

Form being counted Equation What you have to know
ElectricalE = V I tpotential difference in volts, current in amps, time in seconds
ThermalQ = m c ΔTmass in kg, specific heat capacity in J/kg/K, temperature rise in K
GravitationalE = m g hmass in kg, g = 9.81 m/s2 near the ground, height in m
KineticE = ½ m v2mass in kg, speed in m/s
Radiant, arriving on a surfaceP = A Garea in m2 and irradiance in W/m2; this one gives a power, in watts

Only the last of those returns a power rather than an energy. Multiply it by a time in seconds and you are back in joules. One unit bridge is worth committing to memory as well, because meters and bills are written in it: 1 kWh is exactly 3.6 MJ.

The Energy Conversions You Meet Most Often

Nearly every conversion you meet is one of about a dozen, and they all share a shape: one named form goes in, a different named form comes out, and a slice of heat leaves at the join.

The table below is the spine of this page. Read a row from left to right and you have a sentence — electrical energy becomes radiant energy in a lamp, and what you notice is that the room lights up while the lamp gets warm.

Converts from Into Where it happens What you notice
ChemicalThermala gas ring, a bonfire, a struck matchthe room warms and the fuel runs down
ChemicalElectricala torch cell, a car battery, a fuel cellthe cell slowly goes flat
ChemicalKineticyour legs on a hill, a petrol engineyou speed up, and you get hot
ElectricalRadianta filament lamp, an LED, a laser pointerthe room lights up and the lamp warms
ElectricalThermala kettle, a toaster, an immersion heaterthe water boils and the flex warms
ElectricalKinetica washing-machine motor, a fan, a drillit spins, it hums, and it gets warm
ElectricalChemicalcharging a phone, splitting water by electrolysisthe battery fills, or bubbles form at the electrodes
GravitationalKineticanything falling, a reservoir down a penstockit speeds up as it drops
KineticElectricala bicycle dynamo, a wind turbine, an alternatorit becomes harder to turn
KineticThermalbrake discs, a rope running through your handsthe surfaces get hot and the motion stops
RadiantElectricala solar cell, a photodiode, a light metera current appears with nothing moving
RadiantChemicalphotosynthesis in a leaf or in algaethe plant gains mass out of thin air
NuclearThermala reactor core, the centre of the Sunthe coolant gets hot with nothing burning
ElasticKinetica released spring, a drawn bow, a catapultit flies off and the spring goes slack

Two things hold for every one of those fourteen rows. The “into” column is never the whole story, because each row also produces heat; and several rows run in both directions, which is why a motor and a generator are the same machine wired differently.

Notice what the table has no row for. There is no row that destroys energy and none that makes any, because every arrow in it is a rename.

The gravitational-into-kinetic row is the one you can watch happen. The lab below holds a 1 kg ball on a smooth curved track with nothing to rub against: set Drop Height anywhere between 0.5 m and 5.0 m, press Release Ball, and read the two cards that carry the form names. Potential (PE) empties while Kinetic (KE) fills, which is one named form becoming another in front of you, a tenth of a joule at a time.

Energy Conversion Lab

Problem 7 at the foot of this page reads all four of its cards at two points on the same drop. Keep one habit in mind while you play with it: the cards round every energy to one decimal place, so they will not always appear to add up on screen.

How to Read an Energy Conversion Chain

A conversion chain is the list of forms the joules wear, in order, with one arrow for each conversion — and every arrow leaks.

Write a chain like this: chemical -> thermal -> kinetic -> electrical. That is a coal-fired power station in four words, in the order the joules actually travel, which is why it beats a paragraph of description.

Now the part the notation hides. Drawn as a line, a chain implies that all of the joules reach the far end, and they do not. At every arrow some of them peel off sideways as low-grade heat, so the honest picture is a tree with a short branch at each joint.

That branching is not a fault in the machine. Some of it is friction, some is the resistance of a wire, and some is unavoidable for reasons that have nothing at all to do with how well the thing was built.

A single row of four boxes on a cream background, read left to right, showing one chain in a coal-fired power station. The first box is headed Chemical and labelled coal in the bunker, the second Thermal and labelled steam in the boiler, the third Kinetic and labelled the turbine shaft, and the fourth Electrical and labelled the useful share, out to the grid. Navy arrows point from each box to the next. From the middle of every one of those three arrows a wine arrow drops straight down to a wide pale band across the bottom of the panel labelled The surroundings, low-grade heat, spread thin and no longer useful. The three downward arrows are drawn the same length as each other and are labelled, left to right, flue gas up the stack, friction and the condenser, and resistance in the windings. Only the fourth box is shaded gold. Footnotes state that nothing is added along the way and nothing disappears, that the same joules are simply renamed at each box, that the three downward arrows are drawn the same length as each other and mark that joules leave at every stage rather than how many, with no measured share claimed, and that the last box is shaded gold because it is the part of the chain anyone pays for.
Figure 1. One chain in a coal-fired station, read left to right. The three downward arrows are drawn the same length as each other: they mark that joules leave at every stage and claim no share. Only the last box is shaded.

One habit makes a chain far more useful: write down what leaves at each branch, not merely that something does. Flue gas up the stack and resistance in the windings are two completely different engineering problems, and lumping them together as “losses” throws away the only information you had.

Energy Conversion Examples in Everyday Life

Five ordinary objects, five chains, each traced from the thing holding the joules to the thing that finally carries them away.

A torch

chemical -> electrical -> radiant. The cell’s chemistry drives a current, the current drives an LED, and the LED throws light across the room. Problem 1 below puts figures on it: of 720 J delivered by the cell in five minutes, a slice leaves as light and the remainder warms the torch body in your hand.

An electric kettle

electrical -> thermal, and that is the whole chain. There is almost nowhere else for the joules to go, because the element sits in the water; what escapes does so through the warm body, the warm flex and the steam. Boiling 1.5 kg from 18 °C needs 514 kJ, as problem 2 works out, which is 0.143 kWh of energy into the water; the meter that bills you records a little more than that, because the three escapes just named are paid for too.

A car, from tank to tarmac

chemical -> thermal -> kinetic. Petrol burns, the hot gas shoves a piston, the piston turns a crankshaft. The US Department of Energy puts the share of a tank that actually moves a conventional car down the road at only about 12% to 30%, depending on the drive cycle, with most of the rest leaving the engine as heat.

Then you brake, and the chain does not stop — it turns a corner. The kinetic energy you have just bought with petrol becomes heat in four steel discs, and problem 4 puts a temperature rise on it.

Breakfast to the top of a hill

chemical -> gravitational, with a very large branch. Your muscles take the chemical energy in food and lift your weight against gravity, and only some of those joules end up as height; the rest is why you are hot and out of breath at the top. Problem 5 does the sum for a 320 m climb on one cereal bar.

A phone charging, then discharging

electrical -> chemical on the charger, then chemical -> electrical -> radiant and kinetic when you use it. One chain run forwards and then backwards is the clearest everyday proof that many conversions are reversible. Both directions warm the phone, which is why it is never quite cool at either end of the day.

Energy Conversion in Power Generation

Every power station on the grid ends in the same place — electrical energy leaving a terminal — and they differ almost entirely in how many stages it takes them to get there.

Coal and gas take the long route: chemical -> thermal -> kinetic -> electrical. Fuel burns, water becomes steam, steam spins a turbine, the turbine spins a generator. Four named forms, three conversions, and heat leaving at every one of them.

Hydro drops a stage: gravitational -> kinetic -> electrical. Water held behind a dam has height, the penstock trades that height for speed, and the turbine takes it from there. Problem 3 runs the figures for 450 m3 of water a second falling 110 m.

Generator hall of a hydroelectric power station, where the energy conversion from falling water to electricity happens
A hydroelectric machine hall. Water arrives with height, leaves with less of it, and the difference walks out of the building as electricity.

Wind writes as three boxes but carries only two named forms: kinetic -> kinetic -> electrical. The air hands its motion to the rotor without the energy being renamed at all, which is a transfer rather than a conversion; only the generator on the end does any converting.

Solar PV is the interesting one, because it has no moving stage whatsoever: radiant -> electrical, in a single step inside the cell. No boiler, no shaft, no gearbox — which is why a panel has nothing to lubricate at the place where the conversion actually happens.

Nuclear starts somewhere unfamiliar and then joins the coal route: nuclear -> thermal -> kinetic -> electrical. Nothing burns; the nucleus itself gives up energy, and how a reactor turns that into heat is a chain worth following on its own. From the boiler onwards it is indistinguishable from a coal station.

Four rows of boxes on a cream background, one row for each way of generating electricity, all drawn on the same four columns so that the rows line up. The top row, labelled Coal or gas on the left, fills all four columns with boxes headed Chemical, Thermal, Kinetic and Electrical, joined left to right by navy arrows. The second row, Hydro, leaves the first column empty and holds three boxes, Gravitational, Kinetic and Electrical. The third row, Wind, also leaves the first column empty and holds three boxes, the first headed Kinetic and labelled in the air, the second headed Kinetic and labelled in the rotor, and the third Electrical. The bottom row, Solar PV, leaves the first two columns empty, carrying instead a wine caption reading nothing moves between the sunlight and the current and a long wine arrow that runs across those empty columns into a box headed Radiant, which points on to Electrical. The fourth column is shaded gold in every row and is headed, above the top row, the same end point. Footnotes state that every row ends in the same shaded column, which is electrical energy at a generator terminal or a photovoltaic cell; that coal and gas fill four boxes, hydro and wind three and solar PV two, because a photovoltaic cell turns light straight into a current with nothing moving; that the first two boxes of the wind row are both kinetic because the air hands its motion to the rotor without renaming it, so only the last step of that row is a conversion; and that waste heat is left out of this figure on purpose because figure 1 shows where it leaves, with box widths carrying no quantity.
Figure 2. Four generating routes drawn on the same four columns. Every row ends in the shaded column; coal and gas fill four boxes, hydro and wind three, solar PV two.

One thing that figure does not show is worth saying out loud. Fewer boxes does not mean more joules arrive — a short chain and a long one can both shed a great deal at the stages they do have, and nothing about the drawing implies otherwise.

Where the “Lost” Energy Actually Goes

Every branch drawn on this page ends in the same place: low-grade heat, in the air of the room, the casing of the device and the bench underneath. The joules that peeled off sideways at each joint are all still there, spread across so many atoms that no single one of them gained much.

Two words there carry the idea. Spread, because the joules are no longer in one place you could reach; and low-grade, because heat already at room temperature is the one form of energy nobody can collect and send round again. Why the spreading only ever runs one way is the subject of entropy.

Problem 4 below makes it concrete. A car stopping from 27 m/s pushes 510 kJ into four brake discs and lifts them by about 113 K; the moment those discs cool back to the temperature of the air, the same 510 kJ are still in the world and completely out of reach. A mechanics energy balance records that 510 kJ as a single loss term rather than as something the car still has, and that term is exactly what the Conservation of Energy calculator returns when you ask it for the energy lost to friction.

None of this makes a device faulty and none of it is a loophole in the counting. How much of the input arrives in the form you wanted is what efficiency measures, and that question has a page of its own.

One last thing is worth saying about the word “lost”. Follow the heat far enough and it leaves the planet altogether: warm air, warm water and warm ground radiate to space, which is the final link of every chain on this page.

Common Misconceptions About Energy Conversion

The four beliefs below all come from the same place: reading a conversion as something that uses energy up, rather than as something that passes it on under a new name.

“Waste heat means something has gone wrong”

Usually it means the opposite: the device is behaving exactly as physics requires. Any conversion involving a moving part, a current or a flame produces heat, and a machine that produced none has never been built. Warm is normal. Hot in an unexpected place is the fault worth investigating.

“A well-enough built device would convert all of it”

No device manages it, and better engineering is not the obstacle. Branches can certainly be trimmed — better bearings, thicker cable, more insulation — but the branch never closes, and anything that works by moving heat around runs into a ceiling set by temperatures rather than by workmanship.

“A conversion chain only runs one way”

Plenty of them run backwards perfectly well. A motor turned by hand is a generator, a battery run flat is its charging chain in reverse, and a heat pump pushes heat in the direction heat does not naturally go. What never reverses is the heat that left at each branch, which is why the return journey is never free.

“Heat is the only thing that ever goes to waste”

Sound, light and vibration leave a conversion chain too. A kettle makes a noise, a motor hums, a projector leaks light out of its cooling vents, and a bouncing ball squashes slightly on every impact. All of those finish as heat eventually, but counting only the heat at the device itself misses joules that were still in play.

Worked Problems

Problem 1
An LED torch runs from a 3.0 V cell drawing 0.80 A for 5.0 minutes. Of the electrical energy delivered, 22 % leaves the torch as light. Find the energy supplied, the energy leaving as light, and the energy leaving as heat.
Show Solution
Solution: Step 1: Electrical energy delivered is E = V I t, so put the time into seconds first. t = 5.0 min × 60 s/min = 300 s. Step 2: Substitute, carrying the units. E = 3.0 V × 0.80 A × 300 s = 720 J. Step 3: The light. 0.22 × 720 J = 158.4 J, which is 158 J to three figures. Step 4: The heat is whatever is left. 720 J − 158.4 J = 561.6 J, or 562 J to three figures. Step 5: Check the bookkeeping. 158.4 J + 561.6 J = 720 J, so nothing is unaccounted for. Answer: 720 J in, 158 J out as light and 562 J out as heat. The conversion is electrical into radiant plus thermal, and the 22 % is this problem’s given figure rather than a property of torches.
Problem 2
A 2.2 kW kettle heats 1.5 kg of water from 18 degrees C to 100 degrees C. Take the specific heat capacity of water as 4180 J/kg/K. Find the thermal energy the water gains and how long the kettle needs, assuming every joule reaches the water.
Show Solution
Solution: Step 1: Thermal energy gained is Q = m c ΔT. The temperature rise is ΔT = 100 − 18 = 82 K, and a rise of 82 °C is the same size as a rise of 82 K. Step 2: Substitute. Q = 1.5 kg × 4180 J/kg/K × 82 K = 514,140 J, which is 514 kJ to three figures. Step 3: Time comes from the power. t = Q / P = 514,140 J / 2200 W = 233.7 s. Step 4: Put that in minutes. 233.7 s = 3 min 53.7 s, so 234 s is 3 min 54 s to the nearest second. Answer: 514 kJ into the water, taking 234 s, which is about 3 min 54 s. The conversion is electrical into thermal. In a real kettle the warm body, the warm flex and the escaping steam all take a share, so the real time is longer.
Problem 3
A hydroelectric plant passes 450 cubic metres of water per second through a drop of 110 m. Water has a density of 1000 kg per cubic metre and g is 9.81 m/s2. The plant delivers 90 % of the gravitational power as electricity. Find the gravitational power available, the electrical power delivered, and the power left behind.
Show Solution
Solution: Step 1: Find the mass arriving each second. 450 m3/s × 1000 kg/m3 = 450,000 kg/s. Step 2: Gravitational power is the energy m g h delivered each second, so P = (m/t) g h = 450,000 kg/s × 9.81 m/s2 × 110 m = 485,595,000 W, which is 485.595 MW, or 486 MW to three figures. Step 3: The electrical output. 0.90 × 485.595 MW = 437.0355 MW, so 437 MW to three figures. Step 4: What is left behind. 485.595 MW − 437.0355 MW = 48.5595 MW, or 48.6 MW, which goes into warming the water, the bearings and the ironwork. Answer: 486 MW of gravitational power available, 437 MW delivered as electricity and 48.6 MW left behind as heat. The conversion is gravitational into kinetic into electrical, and the 90 % is this problem’s given figure. The unrounded figures balance exactly, so the three rounded ones differ by 0.4 MW only because each was rounded separately.
Problem 4
A 1400 kg car travelling at 27 m/s brakes to a standstill. All of its kinetic energy ends up in four steel brake discs of 2.5 kg each, with a specific heat capacity of 450 J/kg/K. Find the kinetic energy removed and the temperature rise of the discs.
Show Solution
Solution: Step 1: Kinetic energy is E = ½ m v2. First the square: 272 = 729 m2/s2. Step 2: Substitute. E = 0.5 × 1400 kg × 729 m2/s2 = 510,300 J, which is 510 kJ to three figures. Step 3: Total disc mass. 4 × 2.5 kg = 10 kg, so m c = 10 kg × 450 J/kg/K = 4500 J/K. Step 4: Rearrange Q = m c ΔT for the rise. ΔT = 510,300 J / 4500 J/K = 113.4 K, or 113 K to three figures. Answer: 510 kJ removed and a rise of about 113 K. The conversion is kinetic into thermal.

Note the assumption in the question: a real car sends some of this heat straight into the air, the hub and the tyres, so 113 K is an upper limit.

Problem 5
A 68 kg hiker climbs 320 m. Take g as 9.81 m/s2. One cereal bar holds 1.1 MJ of chemical energy, and suppose the hiker's body delivers 20 % of that as climbing work. Is one bar enough for the climb?
Show Solution
Solution: Step 1: The climb needs gravitational potential energy E = m g h. Substitute: E = 68 kg × 9.81 m/s2 × 320 m = 213,465.6 J, which is 213 kJ to three figures. Step 2: Now the supply. 20 % of one bar is 0.20 × 1.1 MJ = 0.22 MJ = 220,000 J, or 220 kJ. Step 3: Compare the two. 220,000 J − 213,465.6 J = 6,534.4 J, so there is about 6.5 kJ to spare. Answer: yes, but only just — one bar supplies 220 kJ of climbing work against the 213 kJ the climb needs, leaving about 6.5 kJ. The conversion is chemical into gravitational, and the other 880 kJ of the bar is why hill walking is warm work. The 20 % is this problem’s given figure.
Problem 6
A solar panel of area 1.6 m2 faces sunlight of irradiance 950 W/m2. Suppose 21 % of the incident power leaves as electricity. Find the power arriving, the electrical power out, the power leaving as heat, and the energy generated in 6.0 hours in both megajoules and kilowatt hours.
Show Solution
Solution: Step 1: Power arriving is P = A G = 1.6 m2 × 950 W/m2 = 1520 W. Step 2: Electrical power out. 0.21 × 1520 W = 319.2 W, which is 319 W to three figures. Step 3: The rest leaves as heat. 1520 W − 319.2 W = 1200.8 W, or 1201 W to four figures. Step 4: Energy over six hours. t = 6.0 h × 3600 s/h = 21,600 s, so E = 319.2 W × 21,600 s = 6,894,720 J = 6.89 MJ. Step 5: In the unit your meter uses. 1 kWh = 3.6 MJ exactly, so E = 6,894,720 J / 3,600,000 J/kWh = 1.9152 kWh, which is 1.92 kWh. Answer: 1520 W arriving, 319 W out as electricity and 1201 W as heat; over six hours that is 6.89 MJ, or 1.92 kWh. The conversion is radiant into electrical plus thermal, and the 21 % is this problem’s given figure. A real day’s irradiance rises and falls, so treat 6.0 h at 950 W/m2 as a flat-rate stand-in for a whole day’s sunshine.
Problem 7
Use the lab above. Leave the height slider at its default 3.0 m and release the ball, whose mass is fixed at 1 kg. Predict what the Total Energy, Kinetic (KE), Potential (PE) and Speed cards read as the ball passes the floor, and again as it passes 1.5 m above the floor. Take g as 9.81 m/s2.
Show Solution
Solution: Step 1: The whole account is set by the release height, with E = m g h. E = 1 kg × 9.81 m/s2 × 3.0 m = 29.43 J, and the Total Energy card prints 29.4 J because the lab rounds every energy to one decimal place. Step 2: At the floor the height is zero, so Potential (PE) reads 0.0 J and Kinetic (KE) carries the lot: 29.4 J. Step 3: The speed there follows from E = ½ m v2, so v = sqrt(2E/m) = sqrt(2 × 29.43 J / 1 kg) = sqrt(58.86) = 7.672 m/s. The Speed card prints 7.7 m/s. Step 4: At 1.5 m up, Potential (PE) is 1 kg × 9.81 m/s2 × 1.5 m = 14.715 J, printed as 14.7 J, and Kinetic (KE) shows whatever is not potential: 29.43 J − 14.715 J = 14.715 J, also printed as 14.7 J. Step 5: And the speed there. v = sqrt(2 × 14.715 J / 1 kg) = sqrt(29.43) = 5.425 m/s, so the Speed card prints 5.4 m/s. Answer: Total Energy 29.4 J throughout; at the floor Kinetic (KE) 29.4 J, Potential (PE) 0.0 J and Speed 7.7 m/s; at 1.5 m, 14.7 J on both energy cards and Speed 5.4 m/s. The conversion is gravitational into kinetic, read straight off the two cards that name the forms. Take each reading as the ball passes the point, and remember the cards round to one decimal place, so they will not always add up on screen.

Frequently Asked Questions

What is energy conversion in simple terms?
Energy conversion is energy changing from one form into another, with the total staying the same. A torch converts the chemical energy in its cell into light; a kettle converts electrical energy into heat in the water. Nothing is created and nothing is destroyed along the way. The joules are only renamed, and a share of them always finishes as heat.
What are the most common energy conversions?
The commonest are electrical into thermal in kettles and heaters, electrical into radiant in lamps, electrical into kinetic in motors, chemical into thermal in anything that burns, chemical into electrical in batteries, gravitational into kinetic in anything falling, and kinetic into electrical in generators and dynamos. The table above lists fourteen of them with the place each one happens and what you would notice.
Can energy be converted without any waste heat?
No device yet built manages it. Every conversion sends some of its joules off as heat, sound or vibration, and the branch cannot be closed by careful engineering alone. Superconducting cable comes closest, though it is the transfer step rather than a conversion: it carries a current with no resistive heating at all, and keeping it cold takes energy of its own.
What energy conversion happens in a power station?
A thermal station runs chemical or nuclear energy into thermal, thermal into kinetic, and kinetic into electrical: the fuel heats water, the steam spins a turbine, and the turbine spins a generator. Wind begins with the motion of the air and hydro with the height of water behind a dam, so both skip the heating stage. A solar panel skips everything in between, turning light straight into a current with nothing moving.
Is electricity converted or transferred?
Both, at different points in the chain. The cables carry energy from the station to your socket without renaming it; the machines at either end convert it, a generator into electrical energy and a kettle back out of it. Mains electricity is therefore best read as energy on its way somewhere rather than as a thing kept in the wall.
What converts light into chemical energy?
Photosynthesis, in plants, algae and some bacteria. Chlorophyll absorbs sunlight, and that energy is used to build sugars out of carbon dioxide and water, so radiant energy finishes as chemical energy in the plant. A photovoltaic cell does something quite different: it turns light into an electric current directly, and builds nothing.
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