High School

If 2.34 g of Zn contains 1.57 g of Zn, what is the mass ratio of zinc to zinc sulfide? How many kilograms of Zn are in 354 kg of ZnS?

A. The mass ratio is 2.34:1.57; There are 177 kg of Zn in 354 kg of ZnS.
B. The mass ratio is 1.57:2.34; There are 177 kg of Zn in 354 kg of ZnS.
C. The mass ratio is 0.67:0.45; There are 177 kg of Zn in 354 kg of ZnS.
D. The mass ratio is 0.45:0.67; There are 177 kg of Zn in 354 kg of ZnS.

Answer :

Final answer:

The mass ratio of Zn to ZnS is 65.38:97.47. In 354 kg of ZnS, there are approximately 237 kg of Zn.

Explanation:

This is a question about stoichiometry, specifically dealing with the conversion of mass to kilograms and the proportion of elements in a compound. Zinc sulfide (ZnS) has a molar mass of 97.47 g/mol, with zinc contributing 65.38 g to it. Therefore, the mass ratio of Zn to ZnS is 65.38 g Zn : 97.47 g ZnS. To convert grams to kilograms, remember that 1 kg = 1000 g. Therefore, the number of kilograms of Zn in 354 kg of ZnS can be calculated by (65.38/97.47) x 354 = approximately 237 kg of Zn in 354 kg of ZnS.

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