Work done during reversible isothermal expansion of one mole of hydrogen gas at 25°C from a pressure of 20 atmospheres to a pressure of 10 atmospheres is:
(Given: R = 2.0 cal K–1 mol–1)
1. –413.14 calories 2. 413.14 calories 
3. 100 calories 4. 0 calorie
Subtopic:  First Law of Thermodynamics |
 72%
Level 2: 60%+
NEET - 2024
Hints

Choose the correct statement for the work done in the expansion and heat absorbed or released when 5 liters of an ideal gas at 10 atmospheric pressure isothermally expands into a vacuum until the volume is 15 liters:
1. Both the heat and work done will be greater than zero.
2. Heat absorbed will be less than zero and work done will be positive.
3. Work done will be zero and heat absorbed or evolved will also be zero.
4. Work done will be greater than zero and heat absorbed will remain zero.
Subtopic:  First Law of Thermodynamics |
 63%
Level 2: 60%+
NEET - 2024
Hints

The work done when 1 mole of gas expands reversibly and isothermally from a pressure of 5 atm to 1 atm at 300 K is:
[Given: log 5 = 0.6989 and R = 8.314 J K-1 mol-1 ​]

1. Zero J
2. 150 J
3. +4014.6 J
4. -4014.6 J

Subtopic:  First Law of Thermodynamics |
 74%
Level 2: 60%+
NEET - 2022
Hints

advertisementadvertisement

Determine \(\Delta U\) for the process where, one mole of an ideal gas at 300 K is expanded isothermally from 1 L to 10 L volume:
(Use R = 8.314 J K–1 mol–1)
1. 1260 J 2. 2520 J
3. 5040 J 4. 0 J
Subtopic:  First Law of Thermodynamics |
 80%
Level 1: 80%+
NEET - 2022
Hints

What is the amount of work done by an ideal gas, if the gas expands isothermally from \(10^{-3}~m^3\) to \(10^{-2}~m^3\) at \(300~K\)against a constant pressure of \(10^{5}~Nm^{-2}\)?

1. \(+270 ~kJ\) 2. \(–900 ~J\)
3. \(+900 ~kJ\) 4. \(–900~ kJ\)
Subtopic:  First Law of Thermodynamics |
 72%
Level 2: 60%+
NEET - 2019
Hints

A gas is allowed to expand in a well-insulated container against a constant external pressure of 2.5atm from an initial volume of 2.50 L to a final volume of 4.50L. The change in internal energy U of the gas in joules will be:

1. –500J 2. –505J
3. –506J 4. –508J
Subtopic:  First Law of Thermodynamics |
Level 3: 35%-60%
NEET - 2017
Hints

advertisementadvertisement

Identify which of the following is the correct option for free expansion of an ideal gas under adiabatic condition.
1. \(\Delta \mathrm{q} \neq 0, \Delta \mathrm{~T}=0, \mathrm{~W}=0 \)
2. \(\Delta \mathrm{q}=0, \Delta \mathrm{~T}=0, \mathrm{~W}=0 \)
3. \(\Delta \mathrm{q}=0, \Delta \mathrm{~T}<0, \mathrm{~W} \neq 0 \)
4. \(\Delta \mathrm{q}=0, \Delta \mathrm{~T} \neq 0, \mathrm{~W}=0\)
Subtopic:  2nd & 3rd Law of Thermodynamics | First Law of Thermodynamics |
 81%
Level 1: 80%+
AIPMT - 2011
Hints

Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be:

1. 3 Joules

2. 9 Joules

3. Zero

4. Infinite

Subtopic:  First Law of Thermodynamics |
 92%
Level 1: 80%+
AIPMT - 2010
Hints

The work done during the expansion of a gas from a volume of 4 dm3 to 6 dm3 against a constant external pressure of 3 atm is:

1. –608 J

2. +304 J

3. –304 J

4. –6.00 J 

Subtopic:  First Law of Thermodynamics |
 79%
Level 2: 60%+
AIPMT - 2004
Hints

advertisementadvertisement

The molar heat capacity of water at constant pressure, C, is 75 JK–1 mol–1. When 1.0 kJ of heat is supplied to 100 g of water which is free to expand, the increase in temperature of the water is:

1. 1.2 K 2. 2.4 K
3. 4.8 K 4. 6.6 K
Subtopic:  First Law of Thermodynamics |
 78%
Level 2: 60%+
AIPMT - 2003
Hints