pA and pB are the vapour pressures of pure liquid components, A and B, respectively of an ideal binary solution. If xA represents the mole fraction of component A, the total pressure of the solution will be
- pA + xA (pB - pA )
- pA + xA (pA - pB )
- pB + xA (pB - pA )
- pB + xA (pA - pB )
Answer
(4) pB + xA (pA - pB )
Solution
As per NCERT (Raoult's law), the partial vapour pressure of each component of an ideal solution is its pure vapour pressure times its mole fraction.
ptotal = pA xA + pB xB
xB = 1 - xA
ptotal = pA xA + pB (1 - xA )
= pB + xA (pA - pB )
Answer: (4)