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The mass of sucrose to be added to 300 g of water to lower its vapour pressure by 1.0 mmHg at 25°C is (Given: p( water )=23.8mmHg

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a
249.9 g
b
329.4 g
c
215.2 g
d
342.2 g

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detailed solution

Correct option is A

Since. p=x1p1 we get

x1=pp1=23.81.023.8=0.958 Now x1=n1n1+n2=(300/18)mol(300/18)mol+m/342gmol1

Equating these two, we get

(300/18)(300/18)+(m/342g)=0.958 or m={(300/18)(10.958)}(342g)0.958=249.89g

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