A monoatomic gas at a pressure $$P$$, having a volume $$V$$, expands isothermally to a volume $$2V$$ and then adiabatically to a volume $$16V$$. The final pressure of the gas is: $$\left(\text{Take:}~ \gamma = \frac{5}{3} \right)$$

1. $$64 ~P$$
2. $$32~P$$
3. $$\frac{P}{64}$$
4. $$16~P$$
Subtopic: Â Types of Processes |
Â 74%
From NCERT
AIPMT - 2014
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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $$\frac{C_P}{C_V}$$ for the gas is:
1. $$2$$
2. $$5/3$$
3. $$3/2$$
4. $$4/3$$
Subtopic: Â Types of Processes |
Â 71%
From NCERT
AIPMT - 2013
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Which of the following relations does not give the equation of an adiabatic process, where terms have their usual meaning?
1. $$\mathrm{P}^{1-\gamma} \mathrm{T}^\gamma= \text{constant}$$
2. $$\mathrm{PV}^\gamma=\text{ constant }$$
3. $$\mathrm{TV}^{\gamma-1}= \text{constant }$$
4. $$\mathrm{P}^{\gamma} \mathrm{T}^{1-\gamma}= \text{constant}$$
Subtopic: Â Types of Processes |
Â 76%
From NCERT
NEET - 2013
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One mole of an ideal gas goes from an initial state $$A$$ to the final state $$B$$ with two processes. It first undergoes isothermal expansion from volume $$V$$ to $$3V$$ and then its volume is reduced from $$3V$$ to $$V$$ at constant pressure. The correct $$(P-V)$$ diagram representing the two processes is:

 1 2 3 4

Subtopic: Â Types of Processes |
Â 81%
From NCERT
AIPMT - 2012
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At a pressure of $$2$$ atmospheres, a mass of diatomic gas $$(\gamma = 1.4)$$, is compressed adiabatically, causing its temperature to rise from $$27^{\circ}\mathrm{C}$$ to $$927^{\circ}\mathrm{C}$$. The pressure of the gas in the final state is:
1. 8 atm
2. 28 atm
3. 68.7 atm
4. 256 atm

Subtopic: Â Types of Processes |
Â 62%
From NCERT
AIPMT - 2011
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A monoatomic gas at pressure P1 and volume V1 is compressed adiabatically to 1/8th its original volume. What is the final pressure of the gas?

1. P1

2. 16 P1

3. 32 P1

4. 64 P1

Subtopic: Â Types of Processes |
Â 79%
From NCERT
AIPMT - 2010
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In thermodynamic processes which of the following statements is not true?

 1 In an adiabatic process, the system is insulated from the surroundings. 2 In an isochoric process, pressure remains constant. 3 In an isothermal process, the temperature remains constant. 4 In an adiabatic process $$PV^\gamma=\mathrm{constant}.$$

Subtopic: Â Types of Processes |
Â 91%
From NCERT
AIPMT - 2009
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