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NEET2012ChemistrySolutionsActual

p_A and p_B are the vapour pressure of pure liquid components, A and B , respectively of an ideal binary solution. If x_A represents the mole fraction of component A , the total pressure of the solution will be

Options

  1. Ap_A+x_A (p_B-p_A )
  2. Bp_A+x_A (p_A-p_B )
  3. Cp_B+x_A (p_B-p_A )
  4. Dp_B+x_A (p_A-p_B )

Correct answer

D. p_B+x_A (p_A-p_B )

Step-by-step solution

Total pressure, p_T=p_A^ +p_B^ We know that, p_A^ =p_A x_Ap_B^ =p_B x_B Substituting the values of p_A^ and p_B^ in Eq. (i) aligned p_T & =p_A x_A+p_B x_B [x_A+x_B . & .=1 x_A=1-x_B or x_B=1-x_A ] & =p_A x_A+p_B (1-x_A ) & =p_A x_A+p_B-p_B x_A p_T & =p_B+x_A (p_A-p_B ) aligned

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