# An ideal gas follows a process described by the equation $$PV^2=C$$ from the initial $$(P_1, V_1, T_1)$$ to final $$(P_2, V_2, T_2)$$ thermodynamics states, where $$C$$ is a constant. Then: 1. $$\text{If}~P_1>P_2~\text{then}~T_1<T_2$$ 2. $$\text{If}~V_2>V_1~\text{then}~T_2>T_1$$ 3. $$\text{If}~V_2>V_1~\text{then}~T_2<T_1$$ 4. $$\text{If}~P_1>P_2~\text{then}~V_1>V_2$$

Subtopic:  Types of Processes |
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NEET - 2022
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A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
1. infinity
2. $$0.5$$
3. zero
4. $$1$$

Subtopic:  Molar Specific Heat |
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NEET - 2022
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An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric, and isochoric. The curve which represents the adiabatic process among $$1,$$ $$2,$$ $$3$$ and $$4$$ is:

 1 $$4$$ 2 $$1$$ 3 $$2$$ 4 $$3$$
Subtopic:  Types of Processes |
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NEET - 2022
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For the given cycle, the work done during the isobaric process is:

1. $$200$$ J
2. zero
3. $$400$$ J
4. $$600$$
Subtopic:  Work Done by a Gas |
51%
From NCERT
NEET - 2023
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One mole of an ideal gas at an initial temperature of $$T$$ K does $$6R$$ joules of work adiabatically. If the ratio of specific heats of this gas at constant pressure and at constant volume is $$5/3$$, the final temperature of the gas will be:
1. $$(T-2.4)$$ K
2. $$(T+4)$$ K
3. $$(T-4)$$ K
4. $$(T+2.4)$$ K

Subtopic:  First Law of Thermodynamics |
55%
From NCERT
AIPMT - 2004
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The initial pressure and volume of a gas are P and V respectively. First, its volume is expanded to 4V by an isothermal process and then compressed adiabatically to volume V. The final pressure will be (γ = 1.5):
1.  8P
2.  4P
3.  P
4.  2P

Subtopic:  Types of Processes |
70%
From NCERT
AIPMT - 1999
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We consider a thermodynamic system. If ∆U represents the increase in its internal energy and W the work done by the system, which of the following statements is true?

 1 $$\Delta \mathrm{U}=-\mathrm{W}$$  in an isothermal process 2 $$\Delta \mathrm{U}=\mathrm{W}$$ in an isothermal process 3 $$\Delta \mathrm{U}=-\mathrm{W}$$ in an adiabatic process 4 $$\Delta \mathrm{U}=\mathrm{W}$$  in an adiabatic process
Subtopic:  First Law of Thermodynamics |
83%
From NCERT
AIPMT - 1998
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If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be:

 1 12 J 2 24 J 3 36 J 4 0 J
Subtopic:  Molar Specific Heat |
85%
From NCERT
AIPMT - 1998
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When volume changes from $$V$$ to $$2V$$ at constant pressure($$P$$), the change in internal energy will be:
1. $$PV$$
2. $$3PV$$
3. $$\frac{PV}{\gamma -1}$$
4. $$\frac{RV}{\gamma -1}$$

Subtopic:  Molar Specific Heat |
70%
From NCERT
AIPMT - 1998
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An ideal gas heat engine operates in a Carnot cycle between 227ºC and 127ºC. It absorbs 6 × 104 cals of heat at higher temperatures. The amount of heat converted to work will be?
1. 4.8 × 104 cals
2. 2.4 × 104 cals
3. 1.2 × 104 cals
4. 6 × 104 cals

Subtopic:  Carnot Engine |
73%
From NCERT
AIPMT - 2005
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