In resistance thermometer, the resistance at $0^{\circ} \mathrm{C}$ and $100^{\circ} \mathrm{C}$ are $6.74 \Omega$ and $7.74 \Omega$ respectively. The temperature corresponding to $6.53 \Omega$ resistance is

An ideal gas in a container of volume 500 cc is at a pressure of $2 \times 10^5 \mathrm{~N} / \mathrm{m}^2$. The average kinetic energy of each molecule is $6 \times 10^{-21} \mathrm{~J}$. The number of gas molecules in the container is

In thermodynamic process, for free expansion, out of the following select the 'WRONG' statement.

The heat required to increase the temperature from 373 K to 573 K at constant volume for ideal monoatomic gas of 2 moles is ( $R=$ universal gas constant)