Given below are two statements:
Statement I: The temperature of a gas is $-73°C$ . When the gas is heated to $527°C$ , the root mean square speed of the molecules is doubled.
Statement-II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:

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Statement I is false but Statement II is true

Both Statement I and Statement II are false

Statement I is true but Statement II is false.

Both Statement I and Statement II are true

answer is D.

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Detailed Solution

$\begin{array}{l} T_{1} = 200 K T_{2} = 800 K ∵ \frac{V_{2}}{V_{1}} = \sqrt{\frac{T_{2}}{T_{1}}} = 2 \\ PV = ηRT and K E_{Trans} = \frac{3}{2} ηRT = \frac{3}{2} PV \end{array}$

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