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Q.

A certain hydrate has the formula MgSO4.xH2O. A quantity of 54.2 g of the compound is heated in an oven to drive off the water. If the steam generated exerts a pressure of 24.8 atm in a 2.0 L container at 120oC, calculate x.

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a

2

b

5

c

6

d

7

answer is D.

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Detailed Solution

Given wt. =54.2Molecular wt. =120+18xPressure =24.8Volume =2LTemperature =393kApplying ideal gas equation;pv=nRT24.8×2=molar massgiven mass×0.0821×393 24.8×2=54.2x120+18x×0.0821×393[Note: Each molecule gives x molecules of water]After solving we get ; x=6.95 ≈7

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A certain hydrate has the formula MgSO4.xH2O. A quantity of 54.2 g of the compound is heated in an oven to drive off the water. If the steam generated exerts a pressure of 24.8 atm in a 2.0 L container at 120oC, calculate x.