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Pressure vs Velocity

A certain gas...

Question

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

A

2

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B

3

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C

4

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D

5

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Solution

The correct option is C 2
$T_{i} = 350 K; T_{f} = 700 K$
$K E_{a v g} (T r a n s l a t i o n a l) = \frac{3}{2} K T$
$∴$ $K E$ increase by a factor of $\frac{700}{350} = 2$

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