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  • Given below are two statements : Statement I : The temperature of a gas is −73C. When the gas is heated to 527C, the root mean square speed of the molecules is&nbsp

Given below are two statements :

Statement I : The temperature of a gas is −73C. When the gas is heated to 527C, 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:

Option: 1

Statement I is false but Statement II is true


Option: 2

Both Statement I and Statement II are false


Option: 3

Statement I is true but Statement II is false


Option: 4

Both Statement I and Statement II are true


Answers (1)

best_answer

Statements-1

\begin{aligned} & \mathrm{v}_{\mathrm{rms}} \propto \sqrt{\mathrm{T}} \Rightarrow \mathrm{v}_{\mathrm{mms}} \propto \sqrt{273-73} \\ & \mathrm{v}_{\mathrm{tms}_2} \propto \sqrt{273+527} \\ & \frac{\mathrm{v}_{\mathrm{rms}_1}}{\mathrm{v}_{\mathrm{rms}_2}}=\sqrt{\frac{200}{800}} \Rightarrow \mathrm{v}_{\mathrm{rms}_2}=2 \mathrm{v}_{\mathrm{rms} \mathrm{s}_1} \\ & \end{aligned} 

(True)

Statements-2

\text { Translation K.E. }=\frac{3}{2} \mathrm{nRT}=\frac{3}{2} \mathrm{PV}

(False)

Posted by

Deependra Verma

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