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At 20 degrees C the vapor pressure of pure methanol (CH3OH) is 89.0 torr and of pure water (H2O) is 17.5 torr. A solution of methanol and water has a total vapor pressure of 52.9 torr at 20 degrees C. Calculate the mole fraction of methanol in this solution. Assume the solution obeys Raoult's Law.

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