The average translational kinetic energy of a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The average translational kinetic energy of a gas molecule is given by the formula $E_{avg} = \frac{3}{2} k_B T$.At $NTP$ (Normal Temperature and

Vedclass · Accepted Answer

$0.56 	imes 10^{-20} 	ext{ J}$

Vedclass · Answer

(C) The average translational kinetic energy of a gas molecule is given by the formula $E_{avg} = \frac{3}{2} k_B T$.At $NTP$ (Normal Temperature and Pressure),the temperature $T = 273 	ext{ K}$.Given $k_B = 1.38 	imes 10^{-23} 	ext{ J/K}$.Substituting the values: $E_{avg} = \frac{3}{2} 	imes 1.38 	imes 10^{-23} 	imes 273$.$E_{avg} = 1.5 	imes 1.38 	imes 273 	imes 10^{-23} 	ext{ J}$.$E_{avg} = 565.11 	imes 10^{-23} 	ext{ J} = 0.565 	imes 10^{-20} 	ext{ J}$.Rounding to the nearest option,we get $0.56 	imes 10^{-20} 	ext{ J}$.

The average translational kinetic energy of a hydrogen gas molecule at $NTP$ will be. [Boltzmann's constant $k_B = 1.38 \times 10^{-23} \text{ J/K}$]

Similar Questions

The average kinetic energy of a gas molecule at $27^oC$ is $6.21 \times 10^{-21} \, J$. Its average kinetic energy at $227^oC$ will be

The $rms$ speed of an ideal hydrogen gas molecule in a gas chamber at $0^{\circ}C$ is $3180 \ m/s$. What is the pressure of the hydrogen gas in atmospheres? (Given: Density of hydrogen gas $\rho = 8.99 \times 10^{-2} \ kg/m^3$,$1 \ atm = 1.01 \times 10^5 \ N/m^2$)

$A$ flask contains Hydrogen and Argon in the ratio $2:1$ by mass. The temperature of the mixture is $30^{\circ} C$. The ratio of average kinetic energy per molecule of the two gases $(K_{\text{argon}} / K_{\text{hydrogen}})$ is: (Given: Atomic weight of $Ar = 39.9$)

The average force applied on the walls of a closed container depends on temperature $(T)$ as ($T$ is the temperature of an ideal gas).

If the temperature of a gas is increased from $27^{\circ}C$ to $927^{\circ}C$,what will be the change in its kinetic energy?

Vedclass Test Series

Exam Paper Generator

Online Exam Module