In the case of hydrogen and oxygen at N.T.P., | vedclass

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

Question

(B) The average kinetic energy of a gas molecule is given by the formula $K = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the

Vedclass · Accepted Answer

average kinetic energy per molecule

Vedclass · Answer

(B) The average kinetic energy of a gas molecule is given by the formula $K = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature.Since both hydrogen and oxygen are at the same $N.T.P.$ (Normal Temperature and Pressure),their temperatures $T$ are identical.Because the average kinetic energy depends only on the temperature,it remains the same for both gases.However,the average momentum depends on the mass of the molecules $(p = \sqrt{3mk_B T})$,which differs for hydrogen and oxygen.Similarly,the kinetic energy per unit volume depends on the number density of the molecules,which varies for different gases at the same $N.T.P.$ if the pressure is defined by the ideal gas law $P = n k_B T$.Therefore,only the average kinetic energy per molecule is the same for both.

In the case of hydrogen and oxygen at $N.T.P.$,which of the following quantities is/are the same?

Similar Questions

The average kinetic energy of a helium atom at $30^oC$ is

$A$ balloon has $5.0$ $g$ mole of helium at $7^{\circ} C$. Calculate
$(a)$ the number of atoms of helium in the balloon,
$(b)$ the total internal energy of the system.

Estimate the average thermal energy of a helium atom at:
$(i)$ room temperature $(27^{\circ} C)$,
$(ii)$ the temperature on the surface of the Sun $(6000\; K)$,
$(iii)$ the temperature of $10$ million kelvin (the typical core temperature in the case of a star).

The average force applied on the walls of a closed container depends as $T^{x}$ where $T$ is the temperature of an ideal gas. The value of $x$ is

$A$ cylinder of capacity $20 \, L$ is filled with $H_2$ gas. The total average translational kinetic energy of the molecules is $1.5 \times 10^5 \, J$. Find the pressure of hydrogen in the cylinder.

Vedclass Test Series

Exam Paper Generator

Online Exam Module