At $0\,^{\circ}C$ temperature and $1\, atm$ pressure,the volume of a gas is $100\, cc$. If the pressure is increased by $1.5$ times and the temperature is increased by one-third of its absolute temperature,what will be the final volume of the gas in $cc$?

If $N_2$ gas is compressed at $2 \text{ atm}$ from $9.0 \text{ L}$ to $3.0 \text{ L}$ at $300 \text{ K}$, find the final pressure at the same temperature. (in $\text{ atm}$)

An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

Find the pressure of $5 \ mol$ $Cl_2$ gas filled in a $2 \ L$ vessel at $27 \ ^oC$ temperature. (in $bar$)

$A$ student forgot to add the reaction mixture to the round bottomed flask at $27^{\circ} C$ but instead he/she placed the flask on the flame. After a lapse of time,he realized his mistake,and using a pyrometer he found the temperature of the flask was $477^{\circ} C$. What fraction of air would have been expelled out?

Provide the different values and units of the universal gas constant $R$.