Question

By ideal gas law, find the approximate volume that will be occupied by 0.5 mole of an ideal gas at 30${}^{o}C$ and 3 $atm$ pressure (gas constant $R$ $=$ 0.0821 $Latm/mol/K$)?

• A. Less than 1 $L$
• B. 5 $L$
• C. 10 $L$
• D. 15 $L$
• E. More than 20 $L$

Answer 1

The correct option is B 5 $L$

Volume $V=\frac{nRT}{P}V=\frac{0.5\text{moles}\times 0.0821\text{L atm/ mol K}\times 303\text{K}}{3\text{atm}}V=\frac{12.4L\text{atm}}{3\text{atm}}=4.2\simeq 5\text{L}$
Note: Here, $V$ is volume, $P$ is pressure, $n$ is the number of moles of gas, $R$ is the ideal gas constant and $T$ is absolute temperature.