The volume of $1 \ g$ of methane $(CH_4)$,ethane $(C_2H_6)$,propane $(C_3H_8)$,and butane $(C_4H_{10})$ is measured at $350 \ K$ and $1 \ atm$ pressure. What will be the volume of butane in $cm^3$?

Equal amounts of gases are kept in two separate containers. If the densities of the two gases are in $1:2$ ratio and their temperatures are in $2:1$ ratio, calculate the ratio of their respective pressures.

If $28 \ g$ of $N_2$ gas occupies a volume of $10 \ L$ at a pressure of $2.46 \ atm$,the temperature will be ......... $K$.

Calculate the new pressure of a gas enclosed in a cylinder when it is compressed from $5 \text{ L}$ to $2 \text{ L}$ at an initial pressure of $1 \text{ atm}$ and temperature of $300 \text{ K}$. The final temperature in this process is $500 \text{ K}$. (in $\text{ atm}$)

If two moles of an ideal gas at $546 \ K$ occupy a volume of $44.8 \ L$,the pressure must be ............. $atm$.

At $T \ (K)$ for one mole of an ideal gas,the graph of $P$ (on $y$-axis) and $V^{-1}$ (on $x$-axis) gave a straight line with a slope of $32.8 \ L \ atm \ mol^{-1}$. What is the temperature (in $K$)? $\left(R=0.082 \ L \ atm \ K^{-1} \ mol^{-1}\right)$