(A) The average translational kinetic energy of a gas molecule is given by $K.E. = \frac{3}{2} k_B T$.The kinetic energy of an electron accelerated th

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(A) The average translational kinetic energy of a gas molecule is given by $K.E. = \frac{3}{2} k_B T$.The kinetic energy of an electron accelerated through a potential difference $V$ is $K.E. = eV$,where $e = 1.6 \times 10^{-19} \ C$.Equating the two energies:$\frac{3}{2} k_B T = eV$Substitute the given values:$\frac{3}{2} \times 1.38 \times 10^{-23} \times T = 1.6 \times 10^{-19} \times 0.1$$2.07 \times 10^{-23} \times T = 0.16 \times 10^{-19}$$T = \frac{0.16 \times 10^{-19}}{2.07 \times 10^{-23}} \approx 772.9 \ K$Converting to Celsius:$T(^{\circ}C) = T(K) - 273 = 772.9 - 273 = 499.9 \approx 500^{\circ}C$.

Class 11 Physics Kinetic Theory of Gases Mix Examples-Kinetic Theory of Gases

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The average translational kinetic energy of ${N}_{2}$ gas molecules at $... {}^{\circ} {C}$ becomes equal to the ${K.E.}$ of an electron accelerated from rest through a potential difference of $0.1 \ V$. (Given ${k}_{B} = 1.38 \times 10^{-23} \ J/K$). (Fill the nearest integer).

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The average translational kinetic energy of ${N}_{2}$ gas molecules at $... {}^{\circ} {C}$ becomes equal to the ${K.E.}$ of an electron accelerated from rest through a potential difference of $0.1 \ V$. (Given ${k}_{B} = 1.38 \times 10^{-23} \ J/K$). (Fill the nearest integer).

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Air inside a closed container is saturated with water vapour. The air pressure is $p$ and the saturated vapour pressure of water is $\bar{p}$. If the mixture is compressed to one half of its volume by maintaining temperature constant, the pressure becomes

$A$ cylinder of fixed capacity $44.8 \, L$ contains helium gas at standard temperature and pressure. What is the amount of heat needed to raise the temperature of the gas in the cylinder by $15.0 \, ^{\circ}C$? $(R = 8.31 \, J \, mol^{-1} K^{-1})$

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One mole of a monoatomic ideal gas undergoes a quasistatic process, which is depicted by a straight line joining points $(V_{0}, T_{0})$ and $(2 V_{0}, 3 T_{0})$ in a $V-T$ diagram. What is the value of the heat capacity of the gas at the point $(V_{0}, T_{0})$?

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$Reason :$ Absolute zero temperature is not zero energy temperature.