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The root mean square velocity of an idea...

The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from `5xx10^(4)cms^(-1)` to `10xx10^(4)cm s^(-1)`. Which of the following statements correctly explains how the change is accomplished?

A

By heating the gas, the temperature is doubled

B

By heating the gas, the pressure is quadrupled (i.e. made four times)

C

By heating the gas, the temperature is quadrupled

D

By heating the gas, the pressure is doubled

Text Solution

Verified by Experts

The correct Answer is:
C
`u_1/u_2 = sqrt(T_1/T_2)`
`therefore T_1/T_2 = ((5 xx 10^4)/(10 xx 10^4) )^2 = 1/4`
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