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If the  u(rms) of an ideal gas in a clos...

If the  `u_(rms)` of an ideal gas in a closed container is doubled, then which of the following statement correctly explains how the change is accomplished? 

A

The temperature is doubled

B

The pressure is quadrupled at constant volume

C

The temperature is quadrupled

D

The pressure is quadrupled at constant temperature

Text Solution

Verified by Experts

`(U_1)/(U_2) = 1/2 = sqrt((T_1)/(T_2)) = sqrt((T_1)/(T_2)) = sqrt((P_1)/(P_2)) implies T_2 = 4T_1, P_2 = 4P_1`.
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