1 mole of $\mathrm{H}_2$ gas is contained in a box of volume $V=1.00 \mathrm{~m}^3$ at $T=300 \mathrm{~K}$. The gas is heated to a temperature of $T=3000 \mathrm{~K}$ and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

A vessel of volume $V$ contains a mixture of 1 mole of hydrogen and 1 mole oxygen (both considered as ideal). Let $f_1(v) d v$, denote the fraction of molecules with speed between $v$ and $(v+d v)$ with $f_2(v) d v$, similarly for oxygen. Then,

An inflated rubber balloon contains one mole of an ideal gas, has a pressure $p$, volume $V$ and temperature $T$. If the temperature rises to 1.1 T , and the volume is increased to 1.05 V , the final pressure will be

$A B C D E F G H$ is a hollow cube made of an insulator (figure) face $A B C D$ has positive charge on it. Inside the cube, we have ionised hydrogen. The usual kinetic theory expression for pressure

Diatomic molecules like hydrogen have energies due to both translational as well as rotational motion. From the equation in kinetic theory $p V=\frac{2}{3} E, E$ is