Home
Class 11
PHYSICS
Given that molar specific heats of gas a...

Given that molar specific heats of gas at' constant pressure and volume as 20.8 J `mol^(-1)K^(-1)` and 12.5`Jmol^(-1)K^(-1)` .Calculate their dirference and the ratio of specific heats of the gas.

Text Solution

Verified by Experts

Given :`C_p=20.8Jmol^(-1)K^(-1),C_v=12.5Jmol^(-1)K^(-1)`
Then `C_p-C_v=R=20.8-12.5`
i.e R=8.3`Jmol^(-1)K^(-1)` is known as the universal gas contant.
The ratio of specific heat `gamma=(C_p)/(C_v)=(20.8)/(12.5)`
i.e, `gamma=1.664` which indicates that the gas is monatomic
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS AND ANSWERS|12 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    SUBHASH PUBLICATION|Exercise NUMERICAL WITH SOLUTIONS|34 Videos
  • THERMODYNAMICS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Show that R=8.314 Jmol^(-1)K^(-1)

Explain molar specific heat of a gas at constant (i) pressure and (ii) volume. Write the relation between them in terms of gas constant.

Knowledge Check

  • For a certain gas the ratio of specific heat is 1.5, for thisg gas :

    A
    `C_(p)=(5R)/(J)`
    B
    `C_(v)=(3R)/(J)`
    C
    `C_(v)=(5R)/(J)`
    D
    `C_(p)=(3R)/(J)`
  • Nitrogen is a diatomic gas. Its molar specific heat a constant volume is very nearly:

    A
    `(5R)/(2)`
    B
    `(7R)/(2)`
    C
    `(3R)/(2)`
    D
    (a) and (b) (c) depending on the temperature.
  • Vapour density of a gas is 40. Its specific heats at constant pressure and volume are 0.115 and 0.082 respectively. The atomic mass of the gas is

    A
    40
    B
    20
    C
    80
    D
    None
  • Similar Questions

    Explore conceptually related problems

    Obtain the value of specific heat of water in terms of Jkg^(-1)K^(-1) .

    The specific reaction rates of a chemical reaction are 2.45xx10^(-5)sec^(-1)" at "273K and 16.2 xx10^(-4) sec^(-1) at 303 K. Calculate the activation energy.

    The ratio of specific heats of a gas in 1.40 . There are 200 moles of gas initially present. The gas undergoes adiabatic expansion and as a result which, the temperature of the gas falls from 400 K to 100 K. Give R=8.312J "mole"^(-1) K^(-1) . Calculate the amount or work done by the gas on the surroundings.

    Specific heat at constant pressure C_(p) for a diatomic gas at N.T.P. in the units of cal mole k is:

    The molar specific heat of oxygen at constant pressure, C_(p)7.03" cal/mol"^(@)C and R=8.31" Joules/mol"^(@)C . The amount of heat taken by 5 moles of oxygen when heated at constant volume from 10^(@)C" to "20^(@)C will be approximately: