What is the value of $R$ in the ideal gas equation $pV = nRT$ in units of $bar \ L \ mol^{-1} \ K^{-1}$? Calculate it.
(N/A) The value of $R$ is $0.08314 \ bar \ L \ mol^{-1} \ K^{-1}$.
From the ideal gas equation,$pV = nRT$,we have $R = \frac{pV}{nT}$.
At standard temperature and pressure $(STP)$,$1 \ mol$ of an ideal gas occupies $22.71 \ L$ at $1 \ bar$ pressure and $273.15 \ K$.
Substituting these values: $R = \frac{(1 \ bar)(22.71 \ L)}{(1 \ mol)(273.15 \ K)}$.
$R = 0.083141 \ bar \ L \ mol^{-1} \ K^{-1}$.
Thus,$R \approx 8.314 \times 10^{-2} \ bar \ L \ mol^{-1} \ K^{-1}$.
From the ideal gas equation,$pV = nRT$,we have $R = \frac{pV}{nT}$.
At standard temperature and pressure $(STP)$,$1 \ mol$ of an ideal gas occupies $22.71 \ L$ at $1 \ bar$ pressure and $273.15 \ K$.
Substituting these values: $R = \frac{(1 \ bar)(22.71 \ L)}{(1 \ mol)(273.15 \ K)}$.
$R = 0.083141 \ bar \ L \ mol^{-1} \ K^{-1}$.
Thus,$R \approx 8.314 \times 10^{-2} \ bar \ L \ mol^{-1} \ K^{-1}$.
Explore More
Similar Questions
$A$ balloon is filled with hydrogen at room temperature. It will burst if pressure exceeds $0.2 \ bar$. If at $1 \ bar$ pressure the gas occupies $2.27 \ L$ volume,up to what volume can the balloon be expanded?
Easy
View SolutionWhat is called an ideal gas? Why?
Medium
View Solution$A$ certain sample of gas has a volume of $0.2 \ L$ at one atmosphere pressure and $273.15 \ K$. What is the volume of gas at $273.15 \ ^{\circ}C$ at the same pressure (in $L$)?
In a closed vessel of volume $0.082 \, dm^3$ at $600 \, K$,the complete decomposition of methanol vapor occurs as follows: $CH_3OH_{(g)} \to CO_{(g)} + 2H_{2(g)}$. If $0.01 \, mol$ of methanol is taken initially,what will be the pressure generated in the vessel in $atm$?
Medium
View Solution$A$ $10 \, L$ cylinder contains $0.4 \, g$ of helium,$1.6 \, g$ of oxygen,and $1.4 \, g$ of nitrogen at $27 \, ^\circ C$. Calculate the total pressure of the mixture and the partial pressure of helium gas. Assume ideal gas behavior. $(R = 0.082 \, L \, atm \, K^{-1} \, mol^{-1})$
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo