The mean kinetic energy of a gas at 300 K is | vedclass

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(D) The mean kinetic energy $(E)$ of an ideal gas is directly proportional to its absolute temperature $(T)$.Mathematically,$E \propto T$,which implie

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$150$

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(D) The mean kinetic energy $(E)$ of an ideal gas is directly proportional to its absolute temperature $(T)$.Mathematically,$E \propto T$,which implies $\frac{E_1}{E_2} = \frac{T_1}{T_2}$.Given:$T_1 = 300 \ K$,$E_1 = 100 \ J$$T_2 = 450 \ K$Substituting the values into the formula:$\frac{100}{E_2} = \frac{300}{450}$$\frac{100}{E_2} = \frac{2}{3}$$E_2 = 100 	imes \frac{3}{2} = 150 \ J$.Therefore,the mean energy at $450 \ K$ is $150 \ J$.

The mean kinetic energy of a gas at $300 \ K$ is $100 \ J.$ The mean energy of the gas at $450 \ K$ is equal to ...... $J$.

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