An ideal monoatomic gas expands at constant pressure. The work done by the gas on its environment is 200 ~J , then the heat absorbed by the gas during the process is

Step-by-step solution

Given, W=200 ~J Since, ideal monoatomic gas expands at constant pressure, hence heat absorbed, Q=n C_p T Work done, W=n R T aligned & Q W = n C_p T n R T & Q W = C_p R ...(i) aligned for monoatomic gas, C_V=1.5 R aligned C_p & =C_v+R & =1.5 R+R aligned C_p=2.5 R From Eqs (i) and (ii), we get aligned Q W & = 2.5 R R & =2.5 Q & =2.5 ~W & =25 200 & =500 ~J aligned