Question:
Molecular weight of oxygen is $ 32\, amu $ . At $ STP $ , volume of $ 1\, gm $ of oxygen is $ 700 \,cm^3 $ . What is the value of gas constant $ R $ ?
Molecular weight of oxygen is $ 32\, amu $ . At $ STP $ , volume of $ 1\, gm $ of oxygen is $ 700 \,cm^3 $ . What is the value of gas constant $ R $ ?
Updated On: Jun 3, 2024
- $ 18.23 \,J \,mol^{-1}\, K^{-1} $
- $ 27.73 \,J \,mol^{-1}\, K^{-1} $
- $ 37.97 \,J \,mol^{-1}\, K^{-1} $
- $ 8.31 \,J \,mol^{-1}\, K^{-1} $
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
$PV=nRT$
At $STP$, $P=10^{5}$,
$T=273$,
$n=\frac{1}{32}$,
$V=700\times10^{-6}m$
$R=\frac{PV}{nT}$
$=\frac{10^{5}\times700\times10^{-6}}{1 32\times273}$
$\simeq 8.31\,J\,mol^{-1}\,K^{-1}$
Was this answer helpful?
0
0
Top JKCET Physics Questions
- The coordinates of a moving particle at any time $t$ are given by $x=\alpha t^{3}$ and $y=\beta t^{3}$. The speed of the particle at time $t$ is given by
- The maximum range of a projectile is $ 100\,m $ . The maximum height reached by it is
- A wave has velocity $u$ in medium $P$ and velocity $ 2u $ in medium $Q$. If the wave is incident in medium $P$ at an angle $ 30^{\circ}, $ then the angle of refraction will be
- The working principle of rocket propulsion is conservation of
- Which logic gate does the following truth table represent?
View More Questions
Top JKCET kinetic theory Questions
- An ideal gas is heated at constant volume until its pressure doubles. Which one of the following statements is correct?
- The molecule of a monatomic gas has
- The absolute temperature of a gas is increased to $ 16 $ times of the original temperature. The rms speed of its molecules will become
- What is the mass of $ 2\,L $ of nitrogen at $ 22.4\,arm $ pressure and $ 273\,K $ ?
- What is the fraction of molecular volume to the actual volume occupied by oxygen gas at $STP$ ? Given, the diameter of oxygen molecule is $ 2\,? $ .
View More Questions
Top JKCET Questions
- The coordinates of a moving particle at any time $t$ are given by $x=\alpha t^{3}$ and $y=\beta t^{3}$. The speed of the particle at time $t$ is given by
- The maximum range of a projectile is $ 100\,m $ . The maximum height reached by it is
- Solve $ {{\sin }^{-1}}\,2x+{{\cos }^{-1}}\,2x+2\,{{\tan }^{-1}}\,x=\pi $
- A wave has velocity $u$ in medium $P$ and velocity $ 2u $ in medium $Q$. If the wave is incident in medium $P$ at an angle $ 30^{\circ}, $ then the angle of refraction will be
- The working principle of rocket propulsion is conservation of
View More Questions