For a diatomic gas, the number of degrees of freedom is f=5.
The molar heat capacity at constant volume is Cv=2fR=25R.
The molar heat capacity at constant pressure is Cp=Cv+R=27R.
At constant pressure, the heat supplied is ΔQ=nCpΔT=n(27R)ΔT.
The change in internal energy is ΔU=nCvΔT=n(25R)ΔT.
The work done by the gas is ΔW=nRΔT=n(22R)ΔT.
The ratio ΔQ:ΔU:ΔW is 27:25:22=7:5:2.
Answer: 7:5:2