Question

According to the ideal gas law, what is the approximately volume that will be occupied by $0.5$ mole of an ideal gas at ${30}^{\circ }C$ and $3$ atm pressure (gas constant $R=0.0821$ L atm mol${}^{-1}$ K${}^{-1}$)?

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

Answer 1

Answer: (B)

$5L$

Given :

Pressure P $=$ 3 atm

Volume V $=$ ?

Number of moles n $=$ 0.5

The gas constant R $=$ 0.0821 L $\cdot$ atm / mol $\cdot$ K.

Absolute temperature T $=$ 30 ${}^o$ C $=273+30=303$ K
$V=\frac{nRT}{P}=\frac{0.5\times 0.0821\times 303}{3}\simeq 5$ L
Hence, the approximate volume occupied will be 5 L.

Therefore, the option is B.