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An ideal gas is compressed to half its initial volume using several processes. Which of the processes results in the maximum work done on the gas?

1. adiabatic

2. isobaric

3. isochoric

4. isothermal

Subtopic: Â Work Done by a Gas |

Â 70%

From NCERT

NEET - 2015

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The figure below shows two paths that may be taken by gas to go from state \(A\) to state \(C\).

In process \(AB\), \(400~\text{J}\) of heat is added to the system, and in process \(BC\), \(100~\text{J}\) of heat is added to the system. The heat absorbed by the system in the process \(AC\) will be:

1. \(380~\text{J}\)

2. \(500~\text{J}\)

3. \(460~\text{J}\)

4. \(300~\text{J}\)

Subtopic: Â First Law of Thermodynamics |

Â 58%

From NCERT

NEET - 2015

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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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A thermodynamic system undergoes a cyclic process \(ABCDA\) as shown in Fig. The work done by the system in the cycle is:

1. \( P_0 V_0 \)

2. \( 2 P_0 V_0 \)

3. \( \frac{P_0 V_0}{2} \)

4. zero

Subtopic: Â Cyclic Process |

Â 81%

From NCERT

AIPMT - 2014

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A gas is taken through the cycle \(A\rightarrow B\rightarrow C\rightarrow A\), as shown.
What is the total amount of work done by the gas?

1. | \(1000~\text{J}\) | 2. | zero |

3. | \(-2000~\text{J}\) | 4. | \(2000~\text{J}\) |

Subtopic: Â Work Done by a Gas |

Â 75%

From NCERT

AIPMT - 2013

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The molar specific heats of an ideal gas at constant pressure and volume are denoted by \(C_P\) and \(C_V,\) respectively. If \(\gamma =\frac{C_p}{C_V}\) and \(R\) is the universal gas constant, then \(C_V\) is equal to:

1. \(\frac{R}{\gamma -1}\)

2. \(\frac{\gamma -1}{R}\)

3. \(\gamma R \)

4. \(\frac{\left ( \gamma -1 \right )R}{\left ( \gamma +1 \right )}\)

1. \(\frac{R}{\gamma -1}\)

2. \(\frac{\gamma -1}{R}\)

3. \(\gamma R \)

4. \(\frac{\left ( \gamma -1 \right )R}{\left ( \gamma +1 \right )}\)

Subtopic: Â Molar Specific Heat |

Â 88%

From NCERT

AIPMT - 2013

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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. \(4/3\)

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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A system is taken from state \(\text{a}\) to state \(\text{c}\) by two paths \(\text {adc}\) and \(\text {abc}\) as shown in the figure. The internal energy at \(\text a\) is \(\mathrm{U}_{\mathrm{a}}=10 \mathrm{~J}\). Along the path \( \text {adc}\) the amount of heat absorbed \(\delta Q_1=50 \mathrm{~J}\) and the work obtained \(\delta W_1=20 \mathrm{~J}\) whereas along the path \(\text {abc}\) the heat absorbed \(\delta Q_2=36 \mathrm{~J}\). The amount of work along the path \(\text {abc}\) is:

1. \(10\) J

2. \(12\) J

3. \(36\) J

4. \(6\) J

1. \(10\) J

2. \(12\) J

3. \(36\) J

4. \(6\) J

Subtopic: Â First Law of Thermodynamics |

Â 83%

From NCERT

NEET - 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. \(\mathrm{P}^{\gamma} \mathrm{T}^{1-\gamma}= \text{constant}\)

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 77%

From NCERT

NEET - 2013

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A thermodynamic system is taken through the cycle \(\mathrm{ABCD}\) as shown in the figure. Heat rejected by the gas during the cycle is:

1. \(2 {PV}\)

2. \(4{PV}\)

3. \(\frac{1}{2}{PV}\)

4. \(PV\)

Subtopic: Â Cyclic Process |

Â 73%

From NCERT

AIPMT - 2012

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