If $500 \ cm^3$ of hydrogen gas is at a pressure of $760 \ mm$ and a temperature of $300 \ K$,what is the number of moles?

Five grams each of the following gases at $87 \, ^{\circ}C$ and $750 \, mm$ pressure are taken. Which of them will have the least volume?

The following $P$ vs $V$ curve is plotted. What is the relation between $T_1$,$T_2$ and $T_3$?

At $298 \, K$ temperature,$4 \, g$ of $H_2$ gas is filled in a $500 \, mL$ vessel. Due to a small hole in the vessel,after some time,the pressure in the vessel becomes $50 \, bar$. Find the number of $H_2$ molecules that have escaped from the vessel? $(R = 8.314 \times 10^{-2} \, L \, bar \, mol^{-1} \, K^{-1})$

$A$ rigid nitrogen tank stored inside a laboratory has a pressure of $30 \ atm$ at $06:00 \ am$ when the temperature is $27^{\circ} C$. At $03:00 \ pm$, when the temperature is $45^{\circ} C$, the pressure in the tank will be $...... \ atm.$ [nearest integer]

At $27\,^{\circ}C$ temperature and $4\, bar$ pressure,$CO_2$ is filled in a $2\, L$ vessel. Find the pressure if it is filled in a $4\, L$ vessel at $77\,^{\circ}C$ temperature. (in $, bar$)