Home
Class 11
PHYSICS
The ratio (Cp)/(Cv)=gamma for a gas. Its...

The ratio `(C_p)/(C_v)=gamma` for a gas. Its molecular weight is M. Its specific heat capacity at constant pressure is

A

`(R )/(gamma-1)`

B

`(gammaR)/(gamma-1)`

C

`(gammaR)/(M(gamma-1))`

D

`(gammaRM)/((gamma-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
According to Mayer.s relation
`C_(P)-C_(V)=Ror1-(C_(V))/(C_(P))=(R)/(C_(P))`
or `1-(1)/(gamma)=(R)/(C_(P))(because gamma=(C_(P))/(C_(V)))`
or `(gamma-1)/(gamma)=(R)/(C_(P))orC_(P)=(gammaR)/(gamma-1)`
Specific heat capacity = `("molar heat capacity")/("molecular weight")`
Specific heat capacity at constant pressure = `(gammaR)/(M(gamma-1))`
Promotional Banner

Topper's Solved these Questions

  • BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY

    MTG GUIDE|Exercise TOPICWISE PRACTICE QUESTIONS (Mean Free Path)|1 Videos

  • BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|29 Videos

  • BEHAVIOUR OF PERFECT GAS AND KINETIC THEORY

    MTG GUIDE|Exercise TOPICWISE PRACTICE QUESTIONS (Kinetic Theory of Gases and Kinetic Interpretation of Temperature|11 Videos

  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos

Similar Questions

Explore conceptually related problems

Specific heat at constant pressure C_P of a gas

For an ideal gas (C_(p,m))/(C_(v,m))=gamma . The molecular mass of the gas is M, its specific heat capacity at constant volume is :

STATEMENT-1: The specific heat capacity of a gas at constant pressure is always greter than its specific heat capacity at constant volume. STATEMENT-2: Work is done by a gas when it expands.

An ideal gas is made to undergo a process T = T_(0)e^(alpha V) where T_(0) and alpha are constants. Find the molar specific heat capacity of the gas in the process if its molar specific heat capacity at constant volume is C_(v) . Express your answer as a function of volume (V).

If M is the molecular weight of gas then the principal specific heat of a gas is given by

The ratio of specific heat capacity at constant pressure to the specific heat capacity at constant volume of a diatomic gas decreases with increases in temperature . Explain

During an adiabatic process of an ideal gas, if P is proportional to (1)/(V^(1.5) , then the ratio of specific heat capacities at constant pressure to that at constant volume for the gas is