Home
Class 11
PHYSICS
(1//2) mole of helium is contained in a ...

`(1//2)` mole of helium is contained in a container at STP how much heat energy is needed to double the pressure of the gas, keeping the volume constant? Heat capacity of gas is `3 J g^(-1)K^(-1)`.

A

1436 J

B

736 J

C

1638 J

D

5698 J

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `n=1/2'c_(v)=2J g^(-1)K^(-1),M=4gmol^(-1)`
`thereforeC_(V)=Mc_(V)=4xx3=12Jmol^(-1)K^(-1)`
At constant volume `P prop T.`
`therefore(P_(2))/(P_(1))=(T_(2))/(T_(1))=2,T_(2)=2T_(1)`
Rise in temperature `DeltaT=T_(2)-T_(1)=2T_(1)-T_(1)=T_(1)=273K`
Heat required, `DeltaQ=nC_(V)DeltaT=1/2xx12xx273=1638 J`
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY

    NCERT FINGERTIPS|Exercise Higher Order Thinking Skills|10 Videos

  • KINETIC THEORY

    NCERT FINGERTIPS|Exercise NCERT Exemplar|8 Videos

  • KINETIC THEORY

    NCERT FINGERTIPS|Exercise Law Of Equipartition Of Energy|5 Videos

  • GRAVITATION

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • LAWS OF MOTION

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

One mole of oxygen is heated at constant pressure starting at 0^(@)C . How much heat energy must be added to the gas to double its volume ?

743 J of heat energy is needed to raise the temperature of 5 moles of an ideal gas by 2 K at constant pressure. How much heat energy is needed to raise the temperature of the same mass of the gas by 2 K at constant volume? (R=8.3 J/mol K)

A cylinder of fixed capacity (of 44.8 L) contains 2 moles of helium gas at STP .What is the amount of heat needed to raise the temperature of the gas in the cylinder by 20^(@)C ? ("Use"R=8.31J"mol"^(-1)K^(-1))

How many moles of helium at temperature 300K and 1.00 atm pressure are needed to make the internal energy of the gas 100J?

A cylinder of fixed capacity 44.8 litre contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by 15.0^(@) C ? [R = 8.31 J mol^(-1) K(-1)]

A cylinder of fixed capacity 44.8 litres constains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by 15^(@)C ? Given R=8.31 j mol e^(-1) K^(-1) . (For monoatomic gas, C_(v)=3 R//2 )

Calculate the molar specific heat at constant volume of neon gas. (R=8.314J mol^(-1)K^(-1) )