SPM will permit the flow of asses till (concentration became equal in each chambers. (of respective gas)
At equilibrium: Moles of H2 in each member =302=10 moles.
Moles. of N2 in right and middle chamber =52=2.5moles So, total number of moles in left chamber =10.
total number of moles in middle chamber =(2⋅5+10)+5=17⋅5. total number of moles in right chamber =(2.5+10)=12.5.
Now, here volume and temperature of each chamber remain constant
So, p α n
Thus, PL:Pm:PR=nL:nm:nR=10:17.5:12.5=4:7:5
So, option (A) is correct.