The $\log \, T$ vs $\log \, V$ curve is plotted for an ideal gas as shown. Which of the following is true for the gas?

At a temperature of $18^{\circ}C$ and a pressure of $765 \, torr$,the weight of $1.299 \, L$ of a gas is $2.71 \, g$. Calculate the molar mass of the gas at $STP$.

If the pressure and absolute temperature of $2 \ L$ of $CO_2$ are doubled,the volume of $CO_2$ would become ............... $L$.

If $2.5$ moles of an ideal gas at a certain temperature are allowed to expand isothermally and reversibly from an initial volume of $2$ $dm^3$ to $20$ $dm^3$, the work done by the gas is $-16.5$ $kJ$. The temperature (in $K$) of the gas is (Round off to the nearest value). $(R = 8.314 \ J \ K^{-1} \ mol^{-1})$

$A$ balloon filled with an air sample occupies $3 \,L$ volume at $35^{\circ} C$. On lowering the temperature to $T$, the volume decreases to $2.5 \,L$. The temperature $T$ is (in $^{\circ} C$)? [Assume $p$-constant]

Find the number of moles of $CO_2$ present in a sample occupying $4 \times 10^{-3} \text{ m}^3$ at $1.104 \times 10^5 \text{ Nm}^{-2}$ pressure. Given: $R \times T = 2208 \text{ J mol}^{-1}$. (in $\text{ mole}$)