0.5 Molal aqueous solution of aweak acid (HX) is 20% ionised. If K_f for water is1.86 K kg mol^-1, the lowering in freezing point of the solution is:

-1.12 K

0.56 K

1.12 K

-0.56 K

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Solution

1.12 K

stack stack HX space with weak space acid below with 1 minus alpha below space space rightwards harpoon over leftwards harpoon space space space stack stack space straight H to the power of plus with 0 below space with straight alpha below plus stack space stack straight X to the power of minus end exponent with 0 below with straight alpha space below straight alpha space equals space 20 percent sign space dissociation space straight i space equals space 1 space minus space straight alpha space plus space straight alpha space plus straight alpha space equals space 1 space plus space straight alpha space equals space 1 space plus space 0.2 space equals space 1.2 increment straight T subscript straight f space equals space straight i space straight x space straight K subscript straight f space straight x space straight m space equals space 1.2 space straight x space 1.86 space straight K space kg space mol to the power of negative 1 end exponent space straight x space 0.5 space equals space 1.12 space straight K

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