What is the kinetic energy (in $\mathrm{J} \mathrm{mol}^{-1}$ ) of one mole of an ideal gas (molar mass $=0.1 \mathrm{~kg} \mathrm{~mol}^{-1}$ ) if its rms velocity is $4 imes 10^2 \mathrm{~ms}^{-1}$ at $\mathrm{T}(\mathrm{K}) ?$

Question

What is the kinetic energy (in $\mathrm{J} \mathrm{mol}^{-1}$ ) of one mole of an ideal gas (molar mass $=0.1 \mathrm{~kg} \mathrm{~mol}^{-1}$ ) if its rms velocity is $4 	imes 10^2 \mathrm{~ms}^{-1}$ at $\mathrm{T}(\mathrm{K}) ?$

Aicharya · Accepted Answer

$\mathrm{K} . \mathrm{E}=\frac{1}{2} \mathrm{mv}^2=\frac{1}{2}(0.1)\left(4 	imes 10^2ight)^2=8 	imes 10^3 \mathrm{~J} \mathrm{~mol}^{-1}$

What is the kinetic energy (in $\mathrm{J} \mathrm{mol}^{-1}$ ) of one mole of an ideal gas (molar mass $=0…

Solution