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For an ideal solution containing two volatile liquids A and B, Raoult's law gives the total vapour pressure as:
A$p_T = p_A^\circ p_B^\circ$
B$p_T = p_A^\circ \chi_B + p_B^\circ \chi_A$
C$p_T = p_A^\circ + p_B^\circ$
D$p_T = p_A^\circ \chi_A + p_B^\circ \chi_B$
Answer & Solution
Correct answer: D. $p_T = p_A^\circ \chi_A + p_B^\circ \chi_B$
Raoult's law for an ideal solution: each component's partial pressure equals its mole fraction in the solution times the vapour pressure of the pure component, $p_i = p_i^\circ \chi_i$. By Dalton's law the total is $p_T = p_A^\circ \chi_A + p_B^\circ \chi_B$.
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