Question

Determine the approximate volume(in L) that will be occupied by $0.5$ mole of an ideal gas at ${30}^{0}C$ and $3atm$ pressure :

(gas constant $R=0.0821Latm/mol/K$).

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

Answer 1

Answer: (B)

$V=\frac{nRT}{P}$

$V=$ the approximate volume (in L)

$P=$ pressure $=3$ atm

$n=$ number of moles of gas $=0.5$

$R=$ ideal gas constant $=0.0821Latm/mol/K$

$T=$ absolute temperature $={30}^{o}C=273+30K=303K$

$V=\frac{0.5\times 0.0821\times 303}{3}=4.14L$

Hence, the option (A) less than 5 L is the correct answer.