Home
Class 11
PHYSICS
A fixed mass of a gas is adiabatically m...

A fixed mass of a gas is adiabatically made to expand to double its volume and then isochorically heated to bring the gas to the original pressure. The ratio of final to initial temperature will be

A

`1 : 1`

B

`2 : 1`

C

`1 : 2`

D

Depends on the atomicity of the gas.

Text Solution

Verified by Experts

The correct Answer is:
B
Such problens can be tackled easily, by considering only the final and intial states and applying the equation of state for `n = constant, ie., `PV//T` = constant`
Evidently the pressure is the same but volume gets doubled and so, `T` also gets doubled.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Second Law Of Thermodynamics|29 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise Problems Based On Mixed Concepts|49 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    A2Z|Exercise First Law Of Thermodynamics , Internal Energy And Work Done|55 Videos

  • GRAVITATION

    A2Z|Exercise Chapter Test|29 Videos

  • MOCK TEST

    A2Z|Exercise Motion With Constant Acceleration|15 Videos

Similar Questions

Explore conceptually related problems

Six grams of hydrogen gas at a temperature of 273 K isothoermally expanded to five times its initial volume and then isochorically heated so that the pressure in the final state becomes equal to that in the initial state. Find the total amount of heat absorbed by the gas during the entire process.

n moles of an ideal mono atomic gas is initially at pressure 32 P_(0) and volume V_(0) . Its volume is doubled by an isobaric process. After this the gas is adiabatically expanded so as to make its volume 16V_(0) . Now the gas is isobarically expanded. Finally, the gas is made to return to its initial state by an isothermal process. (a) Represent the process on a P–V diagram. (b) Calculate work done by the gas in one cycle.

Knowledge Check

  • A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically

    A
    2
    B
    `1//2`
    C
    1n 2
    D
    1n 3

  • A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically to decrease the temperature back to the initial value. By what factor would the work done by the gas decreases, had the process been isothermal?

    A
    2
    B
    `1/2`
    C
    ln 2
    D
    ln 3

  • A gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be

    A
    `1//2`
    B
    more than `1//2`
    C
    less than `1//2`
    D
    between 1 and 2

    • Similar Questions

    Explore conceptually related problems

    An ideal monoatomic gas at 300K expands adiabatically to twice its volume. What is the final temperature?

    An ideal monoatomic gas is adiabatically compressed so that its final temperature is twice its initial temperature. What is ratio of its final pressure to its initial pressure.

    An ideal monatomic gas at 300 K expands adiabatically to 8 times its volume . What is the final temperature ?

    A monatomic gas is compressed adiabatically to (1)/(4)^(th) of its original volume , the final pressure of gas in terms of initial pressure P is

    4 moles of an ideal gas is at 0^(@) C . At constant pressure it is heated to double its volume, then its final temperature will be

    Home
    Profile