Home
Class 11
PHYSICS
An ideal monoatomic gas at temperature 2...

An ideal monoatomic gas at temperature `27^@C` and pressure `10^6N//m^2` occupies 10L volume. 10,000 cal of heat is added to the system without changing the volume. Calculate the change in temperature of the gas. Given : `R=8.31 J//mol-K` and `J=4.18J//cal.`

Text Solution

Verified by Experts

The correct Answer is:
C
For n moles of gas, we have `pV=nRT`
Here, `p=10^6N//m^2`, `V=10` `L=10^-2m^3` and `T=27^@C=300K`
`:.` `n=(pV)/(RT)=(10^6xx10^-2)/(8.31xx300)=4.0`
For monatomic gas, `C_V=3/2R`
Thus, `C_V=3/2xx8.31J//mol-K`
`=3/2xx(8.31)/(4.18)=3cal//mol-K`
Let `DeltaT` be the rise in temperature when `n` moles of the gas is given Q cal of heat at constant volume. Then,
`Q=nC_VDeltaT` or `DeltaT=(Q)/(nC_V)`
`(10000cal)/(4.0mol exx3cal//mol-K)`
`=883K`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Exercise 21.1|1 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Exercise 21.2|7 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Example Type 3|1 Videos

  • LAWS OF MOTION

    DC PANDEY|Exercise Medical entrances gallery|39 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    DC PANDEY|Exercise Integer type Questions|10 Videos

Similar Questions

Explore conceptually related problems

If 50 cal of heat is supplied to the system containing 2 mol of an ideal monatomic gas, the rise in temperature is (R = 2 cal//mol-K)

A gas is compressed at a constant pressure of 50N//m^(2) from a volume 10m^(3) to a volume of 4m^(3) . 100J of heat is added to the gas then its internal energy is

A gas is compressed at a constant pressure of 50N/m^(2) from a volume 10m^(3) to a volume of 6m^(3) . 100J of heat is added to the gas then its internal energy increases by - - in J ?

The kinetic energy of one gram molecule of a gas at normal temperature and pressure is (R=8.31J//mol-K)

Five moles of an ideal monoatomic gas with an initial temperature of 150^@C expand and in the process absorb 1500 J of heat and does 2500 J of work. The final temperature of the gas in .^@C is (ideal gas constant R = 8.314 J K^(-1)mol^(-1))

It is desired to increase of the volume of a gas by 20% without changing the pressure. To what temperature, the gas must be heated if the initial temperature of the gas is 27^(@) ?

A gas is compressed at a constant pressure of 50N/m^(2) from a volume 10m^(3) to a volume of "4m^(3) .If 100J of heat is added to the gas,then its internal energy in joules is ................

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

3000 J of heat is given to a gas at a constant pressure of 2xx10^(5)N//m^(2) .If its volume increase bny 10 litres during the process find the change in the intrnal energy of the gas.