Calculate the volume occupied by $8.8 \,g$ of $CO_{2}$ at $31.1^{\circ} C$ and $1 \,bar$ pressure.
( $R=0.083 \,bar \,L \,K^{-1} \,mol^{-1}$ )

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Using the ideal gas equation: $pV = nRT = \frac{m}{M}RT$
Rearranging for volume: $V = \frac{mRT}{Mp}$
Given values:
$m = 8.8 \,g$
$M (CO_{2}) = 12 + 2 \times 16 = 44 \,g \,mol^{-1}$
$R = 0.083 \,bar \,L \,K^{-1} \,mol^{-1}$
$T = 31.1 + 273 = 304.1 \,K$
$p = 1 \,bar$
Substituting the values:
$V = \frac{8.8 \times 0.083 \times 304.1}{44 \times 1}$
$V = 0.2 \times 0.083 \times 304.1$
$V = 5.04806 \,L \approx 5.05 \,L$
Thus,the volume occupied is $5.05 \,L$.

Explore More

Similar Questions

If $P$,$V$,and $T$ represent the pressure,volume,and temperature of a gas respectively,which is the correct representation of Boyle's Law?

When an ideal gas undergoes free expansion,then:

Difficult
View Solution

$A$ gas has a volume of $3.4 \ L$ at $298 \ K$. What is the final temperature if the volume of gas increases to $6.8 \ L$ (in $K$)?

Calculate the volume of gas at $1.25 \ atm$,if the volume occupied by the gas at $1 \ atm$ and at the same temperature is $25 \ mL$. (in $mL$)

The isotherms of an ideal gas at $T_1, T_2, T_3$ along with their slopes $(m)$ are shown in the graph. If $T_1 > T_2 > T_3$,then the correct order of slopes of these isotherms is:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo