the molar specific heat at constant pressure of an ideal

The molar specific heat at constant pressure of an ideal gas is $$\left( {\frac{7}{2}} \right)R.$$ The ratio of specific heat at constant pressure to that at constant volume is

A. $$\frac{8}{7}$$

B. $$\frac{5}{7}$$

C. $$\frac{9}{7}$$

D. $$\frac{7}{5}$$

Answer : $$\frac{7}{5}$$

Solution :
$$\eqalign{ & {C_P} = \frac{7}{2}R;{C_V} = {C_P} - R = \frac{7}{2}R - R = \frac{5}{2}R \cr & \frac{{{C_P}}}{{{C_V}}} = \frac{{\frac{7}{2}R}}{{\frac{5}{2}R}} = \frac{7}{5} \cr} $$

Releted MCQ Question on
Heat and Thermodynamics >> Kinetic Theory of Gases

Releted Question 1

A constant volume gas thermometer works on

A. The Principle of Archimedes

B. Boyle’s Law

C. Pascal’s Law

D. Charle’s Law

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Releted Question 2

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

A. The co-efficient of volume expansion at constant pressure is the same for all ideal gases

B. The average translational kinetic energy per molecule of oxygen gas is $$3kT, k$$ being Boltzmann constant

C. The mean - free path of molecules increases with increases in the pressure

D. In a gaseous mixture, the average translational kinetic energy of the molecules of each component is different

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Releted Question 3

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$ The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A. 0.0015

B. 0.003

C. 0.048

D. 0.768

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Releted Question 4

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$ gas (relative molar mass 4) at a temperature $$2\,T$$ has a pressure of

A. $$\frac{P}{8}$$

B. $$P$$

C. $$2\,P$$

D. $$8\,P$$

View Answer

The molar specific heat at constant pressure of an ideal gas is $$\left( {\frac{7}{2}} \right)R.$$ The ratio of specific heat at constant pressure to that at constant volume is

Releted MCQ Question on
Heat and Thermodynamics >> Kinetic Theory of Gases

A constant volume gas thermometer works on

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$ The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$ gas (relative molar mass 4) at a temperature $$2\,T$$ has a pressure of

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Kinetic Theory of Gases

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The molar specific heat at constant pressure of an ideal gas is $$\left( {\frac{7}{2}} \right)R.$$ The ratio of specific heat at constant pressure to that at constant volume is

Releted MCQ Question on Heat and Thermodynamics >> Kinetic Theory of Gases

A constant volume gas thermometer works on

From the following statements concerning ideal gas at any given temperature $$T,$$ select the correct one(s)

The average translational kinetic energy of $${O_2}$$ (relative molar mass 32) molecules at a particular temperature is $$0.048\,eV.$$ The translational kinetic energy of $${N_2}$$ (relative molar mass 28) molecules in $$eV$$ at the same temperature is

A vessel contains 1 mole of $${O_2}$$ gas (relative molar mass 32) at a temperature $$T.$$ The pressure of the gas is $$P.$$ An identical vessel containing one mole of $$He$$ gas (relative molar mass 4) at a temperature $$2\,T$$ has a pressure of

Practice More Releted MCQ Question on Kinetic Theory of Gases

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Heat and Thermodynamics >> Kinetic Theory of Gases

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Kinetic Theory of Gases