Calculate the temperature of $4.0 \, mol$ of a gas occupying $5 \, dm^{3}$ at $3.32 \, bar$.
$(R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1})$

If $1 \, L$ flask contains $O_2$ at a pressure of $7.6 \times 10^{-10} \, mm \, Hg$ at $0 \, ^\circ C$,then the number of $O_2$ molecules will be ......

At constant pressure,by what percentage must the temperature in Kelvin be increased to increase the volume by $10\%$?

$A$ closed tank has two compartments $A$ and $B$,both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure $1$). If the old partition is replaced by a new partition which can slide and conduct heat but does $NOT$ allow the gas to leak across (Figure $2$),the volume (in $m^3$) of the compartment $A$ after the system attains equilibrium is. . . . . . . .

$A$ certain mass of gas occupies a volume of $2 \ L$ at $STP$. If the pressure is kept constant,what will be the temperature in $^\circ C$ for the gas to occupy a volume of $4 \ L$?

An ideal gas undergoes a cyclic transformation starting from the point $A$ and coming back to the same point by tracing the path $A$ $\rightarrow B$ $\rightarrow C$ $\rightarrow A$ as shown in the diagram. The total work done in the process is . . . . . . $J$.