Question

According to the ideal gas law, what is the approximate volume that will be occupied by 0.5 moles of an ideal gas at 30${}^o$C and 3 atm pressure (gas constant R = 0.0821 L.atm/mol.K)?

• A. 4 L
• B. 5.1 L
• C. 10.1 L
• D. 4.1 L
• E. 6 L

Answer 1

Answer: (D)

4.1 L

Ideal gas law equation is given as $PV$ $=$ $nRT$, where $P$ is the pressure of the gas, $V$ is the volume occupied by the gas, $n$ is the number of moles of the gas and $T$ is the temperature of the gas.

Here, $P$ $=$ $3$ atm

$V$ is unknown and to be found out

$n$ $=$ $0.5$ mole

$R$ $=$ $0.0821$ L.atm/mol.K

$T$ $=$ ${30}^o$$C$ or $303$$K$

Thus putting all the values in the equation we get,

$3$$\ast$$V$ $=$ $0.5$ $\ast$ $0.0821$ $\ast$ $303$

$V$ $=$ $\frac{12.44}{3}$

Thus $V$ $=$ $4.1L$

$4.1L$ is the correct answer.