The internal energy increases 1.5 times
Explanation:
the internal energy of a mono atomic gas is given by E= 3/2kT
T1= 27⁰C= 27+273=300 K
T2=177⁰C= 177+273=450 K
E1= 3/2 k (300)
E2=3/2 k (450)
so E2/E1=[3/2 k (450)][3/2 k (300)]
E2/E1=450/300
E2= 1.5 E1
so the internal energy increases by a factor of 1.5
