The average kinetic energy of a molecule of a | vedclass

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

Question

(B) The average kinetic energy $(KE_{avg})$ of a single molecule of an ideal gas is given by the formula: $KE_{avg} = \frac{3}{2} k_B T$,where $k_B$ i

Vedclass · Accepted Answer

$6.13 	imes 10^{-21} \, J$

Vedclass · Answer

(B) The average kinetic energy $(KE_{avg})$ of a single molecule of an ideal gas is given by the formula: $KE_{avg} = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant $(1.38 	imes 10^{-23} \, J \, K^{-1})$ and $T$ is the temperature in Kelvin.Given temperature $T = 25 + 273.15 = 298.15 \, K$.Substituting the values: $KE_{avg} = \frac{3}{2} 	imes (1.38 	imes 10^{-23} \, J \, K^{-1}) 	imes 298.15 \, K$.$KE_{avg} = 1.5 	imes 1.38 	imes 298.15 	imes 10^{-23} \, J$.$KE_{avg} \approx 6.17 	imes 10^{-21} \, J$.Rounding to the nearest provided option,the correct value is $6.13 	imes 10^{-21} \, J$.

The average kinetic energy of a molecule of an ideal gas at $25 \, ^\circ C$ is .........

Similar Questions

At the same temperature, the molecular speeds of two gases are $u_1$ and $u_2$, and their masses are $m_1$ and $m_2$, respectively. Which of the following expressions is correct?

Which among the following statements is correct?
$A$. There is a complete order of molecules in gases.
$B$. There is a complete disorder of molecules in gases.
$C$. Molecules are not always in random motion in gases.
$D$. Molecules are fixed at respective position in gases.

Which of the following statements is not correct regarding the kinetic theory of gases?

The kinetic energy of $4 \ mol$ of $N_2$ gas at $127 \ ^oC$ is ............. $cal$.

Which of the following gases has the largest mean free path?

Vedclass Test Series

Exam Paper Generator

Online Exam Module