An ideal mono-atomic gas is heated at constant pressure. The fraction of the total energy applied which increases the internal energy for the gas is

Step-by-step solution

Heat supplied at constant pressure is given by Q = n C_p T Increase in internal energy is given by U = n C_v T The fraction of total energy applied which increases the internal energy is U Q = n C_v T n C_p T = C_v C_p For an ideal mono-atomic gas, C_v = 3 2 R and C_p = 5 2 R Fraction = 3 2 R 5 2 R = 3 5 Answer: 3 5