# Work Done

## Trending Questions

**Q.**

0.1 mol of ideal gas compressed reversibly isothermally from 10 l to 1 l at 100 K. The work done in the process is-

**Q.**A container with a mass of 5 kg is lifted to a height of 8 m. Work done by the gravitational force is equal to

- 40 J
- -40 J
- 400 J
- -400 J

**Q.**Work done by 0.1 mole of a gas at 27∘C to double its volume at constant pressure is

[Take R=2 cal mol−1K−1]

- 54 cal
- 600 cal
- 60 cal
- 546 cal

**Q.**One mole of an ideal gas is heated slowly so that it goes from the P−V state (Pi, Vi) to (3Pi, 3Vi) in such a way that the pressure of the gas is directly proportional to the volume. How much work is done on the gas in the process?

- 4PiVi
- 16PiVi
- −9PiVi
- −4PiVi

**Q.**Two moles of an ideal monoatomic gas at 27∘C occupies a volume of V. If the gas is expanded adiabatically to the volume 23/2V, then the work done by the gas will be (γ=53, R=8.31 J/mol K)

- 3739.5 J
- 2627.23 J
- 2500 J
- −2500 J

**Q.**One mole of an ideal diatomic gas at 300 K is compressed adiabatically to one-fourth of its volume. If γ=1.5, the work done on gas will be

- 1280 J
- 1610 J
- 2044 J
- 4986 J

**Q.**If heat absorbed by the working substance from the source is Q1=550 J, heat rejected to the sink is Q2=200 J then work done by the working substance in a cyclic process is

- 250 J

- 350 J
- 750 J
- 550 J

**Q.**An ideal monoatomic gas is taken around the cycle ABCD as shown in figure below. Work done during the cycle is

- PV
- 3PV
- −PV
- 0

**Q.**A cylinder of ideal gas is closed by an 8 kg movable piston (area 60 cm2). Atmospheric pressure is 105 Pa. When the gas is heated from 30°C to 100°C, the piston rises by 20 cm. The piston is then fixed in its place and the gas is cooled back to 30°C. Let ΔQ1 be the heat added to the gas in the heating process and |ΔQ2| the heat lost during cooling. Then the value of ΔQ1−|ΔQ2| will be

- 0
- 136 J
- −136 J
- −68 J

**Q.**Two moles of an ideal monoatomic gas at 27∘C occupies a volume of V. If the gas is expanded adiabatically to the volume 23/2V, then the work done by the gas will be (γ=53, R=8.31 J/mol K)

- 3739.5 J
- 2627.23 J
- 2500 J
- −2500 J

**Q.**An ideal gas is taken through a quasi-static process described by P=αV2, with α=5.00 atm/m6. The gas is expanded to twice its original volume of 1.00 m3. How much work is done by the gas (in MJ) during expansion in this process?

**Q.**In an isothermal reversible expansion, if the volume of 96 g of oxygen at 27∘C is increased from 70 litres to 140 litres, then the work done by the gas will be

- 300Rlog102
- 2.3×900Rlog102
- 600Rlog102
- 2.3×300Rlog102

**Q.**An ideal monoatomic gas is taken around the cycle ABCDA as shown in the PV diagram. The work done during the cycle is given by

- 12PV
- PV
- 2PV
- 4PV

**Q.**In an isothermal reversible expansion if the volume of 96 g of oxygen at 27∘C is increased from 70 L of 140 L, then the work done by the gas will be

- 300 R log102
- 81 R loge2
- 900 R log102
- 2070 R log102

**Q.**An ideal gas is taken through the cycle A→B→C→A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process C→A is

- −5 J
- −10 J
- −15 J
- −20 J

**Q.**How much work should be done in decreasing the volume of an ideal gas by an amount of 2.4×10−4 m3 at normal temperature and constant pressure of 1×105 N/m2 ?

- 28 J
- 27 J
- 25 J
- 24 J

**Q.**A thermodynamic system goes from state (i) (P, V) to (2P, V) and (ii) (P, V) to (P, 2V) as shown in the figure. Work done in the two cases is :

- Zero, Zero
- Zero, PV
- PV, Zero
- PV, PV

**Q.**Work done for the process A→ B shown in the figure is

- 1 J
- 1.5 J
- 4.5 J
- 0.3 J

**Q.**One mole of an ideal diatomic gas at 300 K is compressed adiabatically to one-fourth of its volume. If γ=1.5, the work done on gas will be

- 1280 J
- 1610 J
- 2044 J
- 4986 J

**Q.**One mole of an ideal gas is heated slowly so that it goes from the P−V state (Pi, Vi) to (3Pi, 3Vi) in such a way that the pressure of the gas is directly proportional to the volume. How much work is done on the gas in the process?

- 4PiVi
- 16PiVi
- −9PiVi
- −4PiVi

**Q.**In figure, certain mass of gas traces three paths 1, 2, 3 from state P to state Q. If the work done by the gas along three paths are W1, W2, W3 respectively, then

- W1<W2<W3
- W1=W2=W3
- W1>W2>W3
- Data insufficient

**Q.**The gas inside a spherical bubble expands uniformly and slowly so that its radius increases from R to 2R. Let the atmospheric pressure be P0 and surface tension be S. The work done by the gas in the process is

- 28πP0R33+24πSR2
- 25πP0R33+24πSR2
- 28πP0R33+23πSR22
- none of these

**Q.**How much work should be done in decreasing the volume of an ideal gas by an amount of 2.4×10−4 m3 at normal temperature and constant pressure of 1×105 N/m2 ?

- 28 J
- 27 J
- 25 J
- 24 J

**Q.**V−T diagram for n moles of monoatomic gas is given below:

Choose the correct statement(s).

- ∣∣ΔQ1−2ΔQ3−4∣∣=12
- ∣∣ΔQ1−2ΔQ2−3∣∣=53
- Work done in cyclic process is ΔW=nRT02
- There are only adiabatic and isochoric processes

**Q.**During an integral number of complete cycles, a reversible engine (shown by a circle) absorbs 1200 joule from reservoir at 400 K and performs 200 joule of mechanical work.

(a) Find the quantities of heat exchanged with the second reservoir.

(b) Find the change of entropy in second reservoir (in J/K).

(c) What is the change in entropy of the universe?

**Q.**A container with a mass of 5 kg is lifted to a height of 8 m. Work done by the gravitational force is equal to

- 40 J
- -40 J
- 400 J
- -400 J

**Q.**One mole of an ideal gas is kept enclosed under a light piston of area A=10−2 m2 which is connected to a compressed spring of spring constant 100 N/m. The volume of the gas is 0.83 m3 and its temperature is 100 K. The gas is heated so that it compresses the spring further by 0.1 m. The work done by the gas in the process is: [TakeR=8.3 J/K mol and suppose there is no atmosphere].

- 3 J
- 6 J
- 9 J
- 1.5 J

**Q.**A gas expands with temperature according to the relation V=kT2/3. What is the work done, when the temperature changes by 30∘C?

- 10R
- 20R
- 30R
- 40R

**Q.**P−V diagram of an ideal gas is shown in the figure. Work done by the gas in process ABCD is

- 4P0V0
- 2P0V0
- 3P0V0
- P0V0

**Q.**Fig. shows an indicator diagram. During path 1−2−3, 100 cal are given to the system and 40 cal worth work is done. During path 1−4−3, the work done is 10 cal.

- Heat given to the system during path 1−4−3 is 70 cal
- If the system is brought from 3 to 1 along straight line path 3−1, work done is worth 25 cal
- Along straight line path 3−1, the heat ejected by the system is 85 cal
- The internal energy of the system in state 3 is 140 cal above that in state 1.