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Question: > Calculate the mass percent (w/w) of sulphuric acid in a solution prepared by dissolving 4 g of sul...

Calculate the mass percent (w/w) of sulphuric acid in a solution prepared by dissolving 4 g of sulphur trioxide in a 100 ml sulphuric acid solution containing 80 mass percent (w/w) of H2SO4 and having a density of 1.96 g/ml. (molecular weight of H2SO4 = 98). Take reaction SO3 + H2O \rightarrow H2SO4

A

80.8%

B

84%

C

41.65%

D

None of these

Answer

80.8%

Explanation

Solution

(1)

Mass of H2SO4 formed by 4g SO3 = 4.9 g

Mass % of H2 SO4 =100×1.96×0.8+4.9100×1.96+4=80.8%= \frac{100 \times 1.96 \times 0.8 + 4.9}{100 \times 1.96 + 4} = 80.8\%