At standard temperature and pressure (STP), the standard molar volume of a gas i

Question

At standard temperature and pressure (STP), the standard molar volume of a gas is 22.4 /mol. Use this information to answer the following question: 8. The most common zinc ore in nature is sphalerite, a mineral with the chemical formula ZnS. One method of processing zinc metal from its ore involves first reacting the sphalerite with O2 gas to form zinc oxide, ZnO, and sulfur dioxide. Write the balanced chemical reaction equation. If 657 kg of sphalerite is reacted, what volume of oxygen at 0.977 atm and 34.5 °C is needed to carry out this reaction? Show your work.

Explanation / Answer

Balanced chemical reaction

2 ZnS + 3 O2 2 ZnO + 2 SO2

Moles of O2 =

(657 x 10^3 g ZnS) / (97.445 g ZnS/mol) x (3 mol O2 / 2 mol ZnS) = 10113.4 mol O2

V = nRT / P

= (10113.4 mol) x (0.08205746 Latm/Kmol) x (34.5 + 273.15) K / (0.977 atm)

= 261323 L

= 2.61 x 10^5 L O2

= 261 m^3 O2

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