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Area and Volume Expansion

A certain gas...

Question

A certain gas is at a temperature of 350 $K$ . If the temperature is raised to 700 $K$ , then the average translational kinetic energy of the gas will increase by the factor of:

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Solution

As we know,

$T_{i} = 350 K; T_{f} = 700 K$

$K E_{a v g} (Translational) = \frac{3}{2} K T$

$∴$ $K E$ increase by a factor of $\frac{700}{350} = 2$

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