3. (10 points) Sulfur dioxide, an important intermediate in the synthesis of sul

Question

3. (10 points) Sulfur dioxide, an important intermediate in the synthesis of sulfuric acid, is produced industrially by roasting mineral sulfides, like iron (Il) sulfide. 2 Fe,S,(s) + 902(g) - 2 Fe,0,6) +6 SO2 (g) Molar mass (gmoll207.9 64.01 Suppose this reaction is performed in 75.0 liter sealed tank that initially contains 50.0 g of Fe S and an excess of O The reaction is maintained at a temperature of 165 C. Calculate the partialpressure (in torr) of SO, in the tank once the reaction is complete.

Explanation / Answer

V = 75L, m = 50 g of F2S3

MW of Fe2S3 = 207.8850 g/mol

mol = mass/MW = 50/207.8850 = 0.24051 mol of Fe2S3

ratio is

2 mol of FeS3 = 6 mol of SO2

1 mol of Fe2S3 = 3 mol of SO2

0.24051 mol --> 3x0.24051 = 0.72153 mol of SO2

T = 165°C = 165+273 = 438 K

find Partial pressure of SO2

PV = nRT

P-SO2 = n-SO2 * RT/V

P-SO2 = n-SO2 * RT/V

P-SO2 = (0.72153 )(0.082)(438 )/75

P-SO2 = 0.34552 atm

1 atm = 760 torr

P-SO2 = 0.34552*760 =262.59 torr

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