# 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 |
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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 $$30^\circ~\mathrm{C}$$ to $$35^\circ~\mathrm{C}.$$ 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 |
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The figure shows a process on a gas in which pressure and volume both change. The molar heat capacity for this process is C.

1.   C = 0

2.   C = C

3.   C > CV

4.   C < CV

Subtopic:  Molar Specific Heat |
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The molar heat capacity for the process shown in the following figure is:

1.  C = Cp

2.  C = C

3.  C > CV

4.  C =0

Subtopic:  Molar Specific Heat |
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In an isothermal process on an ideal gas, the pressure increases by 0.5%. The volume decreases by about

1.  0.25%

2.  0.5%

3.  0.7%

4.  1%.

Subtopic:  Types of Processes |
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In an adiabatic process on a gas with y = 1.4, the pressure is increased by 0.5%. The volume decreases by about

1.  0.36%

2.  0.5%

3.  0.7%

4.  1%.

Subtopic:  Types of Processes |
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Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same. The final pressures in A and B are pA and pB respectively.

1.  PA > PB

2.  PA = PB

3.  PA < PB

4.  The relation between pA and pB cannot be deduced.

Subtopic:  Types of Processes |
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Let Ta and Tb be the final temperatures of the samples A and B respectively in the previous question.

1.  Ta < Tb

2.  Ta = Tb

3.  Ta > Tb

4.  The relation between Ta and Tb cannot be deduced.
Previous Question: Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same.

Subtopic:  Types of Processes |
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Let ΔWa and ΔWb be the work done by the systems A and B respectively in the previous question.

1.  ΔWa > ΔWb

2.  ΔWa = ΔWb

3.  ΔWa < ΔWb

4.  The relation between ΔWa and ΔWb cannot be deduced

Previous Question: Two samples A and B are initially kept in the same state. The sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same.

Subtopic:  Work Done by a Gas |
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The molar heat capacity of oxygen gas at STP is nearly 2.5 R. As the temperature is increased, it gradually increases and approaches 3.5 R. The most appropriate reason for this behaviour is that at high temperatures

1.  oxygen does not behave as an ideal gas

2.  oxygen molecules dissociate in atoms

3.  the molecules collide more frequently

4.  molecular vibrations gradually become effective

Subtopic:  Molar Specific Heat |
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