Two containers C 1 and C 2 of volumes V and 4 V respectively, hold the same ideal gas and are connected by a thin horizontal tube of negligible volume with a valve which is initially closed. The initial pressures of the gas in C 1 and C 2 are p and 5 p , respectively. Heat baths are employed to maintain the temperatures in the containers at 300   K and 400   K , respectively. The valve is now opened. Select

Step-by-step solution

Let n 1 and n 2 are number of moles of gas present in container C 1 and C 2 respectively, before the value is opened. Then, using p V = n R T . n 1 = p V R 300 and n 2 = 5 p 4 V R 400 When value is opened gas flows from C 2 to C 1 till pressure in C 1 and C 2 is equal. Let after equalisation of pressure in both C 1 and C 2 , its value is p 0 , Then, using p V = n R T . p 0 V = n 1 ' R 300 (Container C 1 ) and p 0 4 V = n 2 ' R 400 (Container C 2 ) So, n 1 ' = p 0 V R 300 As no gas is leaked from containers, n 1 + n