Let x gm of He and CH4 be present.
Given, Ptotal=2 atm
Number of moles of He=x4
Number of moles of CH4=x16
According to Dalton’s law of partial pressure,
PA=χAPtotal
χA is mole fraction of A
χCH4=x4x4+x16=0.250.3125=0.8
PCH4=0.8×2=1.6 atm
∴PHe=0.4 atm