An ideal gas heat engine operates in Carnot cycle between 227°C and 127°C. It absorbs 6 × 104 cal of heat at higher temperature. Amount of heat converted to work is -

(1) 2.4 × 104 cal

(2) 6 × 104 cal

(3) 1.2 × 104 cal

(4) 4.8 × 104 cal

Subtopic:  Heat Engine & Refrigerator (OLD NCERT) |
 76%
From NCERT
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Which of the following processes is reversible ?

(1) Transfer of heat by radiation

(2) Electrical heating of a nichrome wire

(3) Transfer of heat by conduction

(4) Isothermal compression

Subtopic:  Types of Processes |
 74%
From NCERT
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A monoatomic ideal gas, initially at temperature T1, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T2 by releasing the piston suddenly. If L1 and L2 are the lengths of the gas column before and after expansion respectively, then T1/ T2 is given by -

(1) L1L22/3

(2) L1L2

(3) L2L1

(4) L2L12/3

Subtopic:  Types of Processes |
 70%
From NCERT
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A closed hollow insulated cylinder is filled with gas at \(0^{\circ}\mathrm{C}\) and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to \(100​​^{\circ}\mathrm{C}\). If the piston moves 5 cm, the length of the hollow cylinder will be:
1. 13.65 cm
2. 27.3 cm
3. 38.6 cm
4. 64.6 cm

Subtopic:  Types of Processes |
From NCERT
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A monoatomic gas is supplied with the heat \(Q\) very slowly, keeping the pressure constant. The work done by the gas will be: 
1. \({2 \over 3}Q\)
2. \({3 \over 5}Q\)
3. \({2 \over 5}Q\)
4. \({1 \over 5}Q\)

Subtopic:  Molar Specific Heat |
 61%
From NCERT
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An ideal gas expands isothermally from a volume V1 to V2 and then compressed to original volume V1 adiabatically. Initial pressure is P1 and final pressure is P3. The total work done is W. Then -

(1) P3>P1,  W>0

(2) P3<P1,  W<0

(3) P3>P1,  W<0

(4) P3=P1,  W=0

Subtopic:  Work Done by a Gas |
From NCERT
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Work done by a system under isothermal change from a volume V1 to V2 for a gas which obeys Vander Waal's equation (Vβn)P+αn2V=nRT

(1) nRTlogeV2nβV1nβ+αn2V1V2V1V2

(2) nRTlog10V2αβV1αβ+αn2V1V2V1V2

(3) nRTlogeV2nαV1nα+βn2V1V2V1V2

(4) nRTlogeV1nβV2nβ+αn2V1V2V1V2

Subtopic:  Work Done by a Gas |
 60%
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A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is P0 and temperature is T0, atmospheric pressure is also P0. Now the temperature of the gas is increased to 2T0, the tension in the wire will be

(1) 2 P0A

(2) P0A

(3) P0A2

(4) 4 P0A

Subtopic:  Types of Processes |
From NCERT
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The molar heat capacity in case of a diatomic gas if it does a work of Q4 when heat Q is supplied to it is:

1. 25R

2. 52R

3. 103R

4. 67R

Subtopic:  Molar Specific Heat |
From NCERT
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An insulator container contains 4 moles of an ideal diatomic gas at temperature T. Heat Q is supplied to this gas, due to which 2 moles of the gas are dissociated into atoms but temperature of the gas remains constant. Then

1. Q = 2RT

2. Q = RT

3. Q = 3RT

4. Q = 4RT

Subtopic:  First Law of Thermodynamics |
From NCERT
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