Which of the following equations is true for $8.8 \times 10^{-2} \mathrm{~kg}$ of carbon dioxide gas?
Which of the following equations is true for $8.8 \times 10^{-2} \mathrm{~kg}$ of carbon dioxide gas?
$\mathrm{PV}=1.5 \mathrm{RT}$
$\mathrm{PV}=\mathrm{RT}$
$\quad \mathrm{PV}=2 \mathrm{RT}$
$\quad \mathrm{PV}=3 \mathrm{RT}$
Solution
Given weight of $\mathrm{CO}_2=8.8 \times 10^{-2} \mathrm{~kg}=88 \mathrm{~g}$
$\therefore \quad \mathrm{n}_{\mathrm{CO}_2}=\frac{88 \mathrm{~g}}{44 \mathrm{~g} \mathrm{~mol}^{-1}}=2 \mathrm{~mol}$ According to ideal gas equation,
$\begin{aligned}
& \mathrm{PV}=\mathrm{nRT} \\
& \therefore \quad P V=2 R T
\end{aligned}$