In a vessel, the gas is at pressure P , if the mass of all the molecules is halved of their speed is double, then the resultant pressure will be :

Step-by-step solution

The equation of pressure is P= 1 3 m ~N v^2 v_ r m s ^2 where m= mass of each molecules aligned & N= number of molecules & V= volume of the gas aligned According to the question: mass of all molecules is halved an velocity is double then aligned P ^ = 1 3 ( m 2 ) N V ( & (2 ~V _ ras )^2 & = 2 3 m ~N ~V ~V _ ras ^2 & =2 P aligned compare with eq (i) aligned & P ^ =2 P & P ^ =2 P aligned