Question

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.

Answer 1

Correct Answer - C
`(U_(1))/(U_(2))=sqrt((T_(1))/(T_(2)))" ":. (T_(1))/(T_(2))=((5 xx 10^(4))/(10 xx 10^(4)))^(2)=(1)/(4)`