The average kinetic energy of a gas at -23^{c | vedclass

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

Question

(D) The average kinetic energy $(E)$ of an ideal gas molecule is given by the formula: $E = \frac{3}{2}kT$,where $k$ is the Boltzmann constant and $T$

Vedclass · Accepted Answer

$10 	imes 10^{-14} \, erg$

Vedclass · Answer

(D) The average kinetic energy $(E)$ of an ideal gas molecule is given by the formula: $E = \frac{3}{2}kT$,where $k$ is the Boltzmann constant and $T$ is the absolute temperature in Kelvin.Note that the average kinetic energy depends only on the temperature $T$ and is independent of the pressure and the nature of the gas.Given:$T_1 = -23^{\circ}C = 273 - 23 = 250 \, K$$E_1 = 5 	imes 10^{-14} \, erg$$T_2 = 227^{\circ}C = 273 + 227 = 500 \, K$Using the ratio:$\frac{E_1}{E_2} = \frac{T_1}{T_2}$$\frac{5 	imes 10^{-14}}{E_2} = \frac{250}{500}$$\frac{5 	imes 10^{-14}}{E_2} = \frac{1}{2}$$E_2 = 2 	imes 5 	imes 10^{-14} = 10 	imes 10^{-14} \, erg$.

The average kinetic energy of a gas at $-23^{\circ}C$ and $75 \, cm$ pressure is $5 \times 10^{-14} \, erg$ for $H_2$. The mean kinetic energy of $O_2$ at $227^{\circ}C$ and $150 \, cm$ pressure will be:

Similar Questions

If the distance between molecules is doubled at a constant temperature,the pressure will become .......

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 internal energy of air in a $4 \ m \times 4 \ m \times 3 \ m$ sized room at $1$ atmospheric pressure will be . . . . . . $\times 10^6 \ J$. (Consider air as a diatomic molecule)

The internal energy of a monoatomic ideal gas molecule is

If $E$ is the kinetic energy per mole of an ideal gas and $T$ is the absolute temperature,then the universal gas constant is given as

Vedclass Test Series

Exam Paper Generator

Online Exam Module