Define the gas constant $R$ in terms of work.

If $P$ is pressure and $\rho$ is density of a gas,then $P$ and $\rho$ are related as

$A$ truck carrying an oxygen cylinder is coming from $Place \, A$. At $Place \, A$,the gas in the cylinder is at a temperature of $-23 \, ^oC$ and a pressure of $3 \, atm$. When the truck passes through $Place \, B$,the temperature is $30 \, ^oC$. What will be the pressure of the oxygen gas in $atm$?

At $27^{\circ} C$ in a $10 \ L$ flask,$4.0 \ g$ of an ideal gaseous mixture containing $He$ (molar mass $4.0 \ g \ mol^{-1}$) and $Ne$ (molar mass $20 \ g \ mol^{-1}$) has a pressure of $1.23 \ atm$. What is the mass $\%$ of neon? $(R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1})$

$A$ 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. . . . . . . .

At $273 \ K$ temperature and $76 \ cm \ Hg$ pressure, the density of a gas is $1.964 \ g \ L^{-1}$. The gas is