The molar specific heat at a constant pressure of an ideal gas is \(\dfrac{7}{2}R.\) The ratio of specific heat at constant pressure to that at constant volume is:

1. \(\dfrac{7}{5}\) 2. \(\dfrac{8}{7}\)
3. \(\dfrac{5}{7}\) 4. \(\dfrac{9}{7}\)
Subtopic:  Molar Specific Heat |
 77%
Level 2: 60%+
AIPMT - 2006
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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. \(\dfrac{R}{\gamma -1}\) 2. \(\dfrac{\gamma -1}{R}\)
3. \(\gamma R \) 4. \(\dfrac{\left ( \gamma -1 \right )R}{\left ( \gamma +1 \right )}\)
Subtopic:  Molar Specific Heat |
 89%
Level 1: 80%+
AIPMT - 2013
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Let \(C_v\) and \(​​C_p\) denote the molar heat capacities of an ideal gas at constant volume and constant pressure, respectively. Which of the following is a universal constant?
1. \(\frac{C_p}{C_v}\)
2. \(C_pC_v\)
3. \(C_p-C_v\)
4. \(C_p+C_v\)
Subtopic:  Molar Specific Heat |
 84%
Level 1: 80%+
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\(70\) calories of heat is required to raise the temperature of \(2\) mole of an ideal gas at constant pressure from \(30^\circ\text{C}\) to \(35^\circ\text{C}.\) The amount of heat required to raise the temperature of the same gas through the same range at constant volume is:
1. \(30\) calories
2. \(50\) calories
3. \(70\) calories
4. \(90\) calories

Subtopic:  Molar Specific Heat |
 67%
Level 2: 60%+
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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 |
 73%
Level 2: 60%+
NEET - 2022
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One mole of an ideal monatomic gas undergoes a process described by the equation \(PV^3=\text{constant}.\) The heat capacity of the gas during this process is:
1. \(\dfrac{3}{2}R\) 2. \(\dfrac{5}{2}R\)
3. \(2R\) 4. \(R\)
Subtopic:  Molar Specific Heat |
Level 3: 35%-60%
NEET - 2016
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