One mole of an ideal gas with $\gamma = 1.4$, is adiabatically compressed so that its temperature rises from $27°C$ to $35°C$. The change in the internal energy of the gas is ....... $J$ $(R = 8.3\,J/mol.K)$

  • A

    $-166$

  • B

    $166$

  • C

    $-168 $

  • D

    $168$

Similar Questions

What is the change in temperature when work done by gas in an adiabatic process ?

Given below are two statement 

Statement $-I$ : What $\mu$ amount of an ideal gas undergoes adiabatic change from state $\left( P _{1}, V _{1}, T _{1}\right)$ to state $\left( P _{2}, V _{2}, T _{2}\right)$, the work done is $W =\frac{1 R \left( T _{2}- T _{1}\right)}{1-\gamma}$, where $\gamma=\frac{ C _{ P }}{ C _{ V }}$ and $R =$ universal gas constant,

Statement $-II$ : In the above case. when work is done on the gas. the temperature of the gas would rise.

Choose the correct answer from the options given below

  • [JEE MAIN 2022]

The adiabatic elasticity of hydrogen gas $(\gamma = 1.4)$ at $NTP$ is

You feel enjoy by having bath in shower in summer but not in winter. Why ?

Two identical samples of a gas are allowed to expand $(i)$ isothermally $(ii)$ adiabatically. Work done is