310 ~J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25^ C to 35^ C . The amount of heat required to raise the temperature of the gas through the same range at constant volume is

Step-by-step solution

At constant pressure, Heat required =n C_ p T array ll & 310=2 C_ p (35-25) & C_ p = 310 20 =15.5 ~J / mol / K array Similarly, at constant volume, Heat required =n C_ V T=2 (C_ p -R ) (35-25) [ C_ p -C_ V =R ]=2 (15.5-8.3) 10=2 7.2 10=144 ~J =2 7.2 10=144 ~J