A jar ' P ' is filled with gas having pressure, volume and temperature P , V , T respectively. Another gas jar Q filled with a gas having pressure 2 P , volume V 4 and temperature 2 ~T . The ratio of the number of molecules in jar P to those in jar Q is

Step-by-step solution

According to the ideal gas equation PV = Nk _ B T For jar P , we have PV = N ₁ k _ B T ... (i) For jar Q, we have, (2P) ( V 4 )= N ₂ k _ B (2 ~T ) PV =4 ~N ₂ k _ B T ... (ii) From equations (i) and (ii) array ll & N ₁=4 ~N ₂ N ₁ ~N ₂ =4 & N ₁: N ₂=4: 1 array