On increasing the temperature, the root mean square speed of molecules of a gas filled in a container becomes double, now the pressure of the gas relative to the initial pressure will be

Options

A. equal
B. half
C. double
D. fout times

Answer

D

Explanation

`(v_(1))/(v_(2))=sqrt((T_(1))/(T_(2)))`
`1/2 =sqrt((T_(1))/(T_(2)))rArr (P_(1))/(P_(2))=(T_(1))/(T_(2)) rArr P_(2)=4P_(t)`