At $25 \, ^\circ C$,a $3.7 \, g$ gas occupies the same volume as $0.184 \, g$ of $H_2$ gas at $17 \, ^\circ C$ under the same pressure. What is the molar mass of the gas?

The volume occupied by $4.75 \, g$ of acetylene gas at $50^{\circ} C$ and $740 \, mm \, Hg$ pressure is ....... $L$.
(Rounded off to the nearest integer)
$[$ Given $R = 0.0826 \, L \, atm \, K^{-1} \, mol^{-1} ]$

Match the laws given in List-$I$ with their mathematical forms given in List-$II$.

List-$I$	List-$II$
$(1)$ Boyle's Law	$(A)$ $p \propto T$
$(2)$ Charles's Law	$(B)$ $V \propto n$
$(3)$ Gay-Lussac's Law	$(C)$ $p \propto \frac{1}{V}$
$(4)$ Avogadro's Law	$(D)$ $pV = nRT$
$(5)$ Ideal Gas Equation	$(E)$ $V = k_2T$

The use of hot air balloons for sports and meteorological observations is based on which of the following laws?

Calculate the pressure of $1.5 \ mol$ of gas having volume $3 \ dm^3$ at $300 \ K$ $(R=0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1})$. (in $atm$)

Calculate the number of total atoms and molecules in $4 \, L$ of $SO_2$ gas at $350 \, K$ temperature and $10^3 \, Pa$ pressure. $[R = 8.3144 \, J \, K^{-1} \, mol^{-1}]$.