Consider x gm be the weight of C2H6 and hydrogen.
No. of moles of hydrogen = x/2
No. of moles of C2H6 = x/30
Mole fraction of hydrogen =( x/2)/(x/2+x/30) = 15/16
The pressure exerted by hydrogen = mole fraction of hydrogen * total pressure
= 15/16 * 1 = 15/16