At 300 K . the vapour pressures of A and B liquids are 500 and 400 mm Hg respectively. Equal moles of A and B are mixed to form an ideal solution, The mole fraction of A and B in vapor state is respectively

Step-by-step solution

array lll P _ A ^0=500 & n _ A =1 & x _ A =0.5 P _ B ^0=400 & n _ B =1 & x _ B =0.5 array aligned & P_A=P_A^0 x_A & P_A=500 0.5=250 & P_B=400 0.5=200 & P_T=P_A+P_B=250+200=450 aligned In vapour state aligned & P _ A = P _ T x _ A ^ & x _ A ^ = P _ A P _ T = 250 450 =0.555 & x _ B ^ = P _ B P _ T = 200 450 =0.444 aligned