What is the temperature of $4$ moles of a gas occupying $5 \ L$ volume at $3.32 \ bar$ (in $K$)? $\left(R=0.083 \ bar \ L \ K^{-1} \ mol^{-1}\right)$

What is the density of $SO_2$ gas at $27\,^oC$ temperature and $2\, atm$ pressure in $g/L$? (Atomic weights: $S = 32, O = 16, R = 0.082\, L\, atm\, K^{-1}\, mol^{-1}$)

For $0.09 \, \text{mol}$ of $CO_2$ at $300 \, K$,the volume is $112.0 \times 10^{-3} \, m^3$ at a pressure of $2.0 \times 10^4 \, Pa$. What will be the volume at a pressure of $4.0 \times 10^4 \, Pa$?

$A$ 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 $atm$?

What is the ideal gas equation? Derive the equation for an ideal gas and describe the characteristics of $R$ and its value.

The compressibility factor for an ideal gas is