Question

ch sulfide (ZnS) occurs in the zinc blende crystal structure, (a) If 254 g of ZnS contains 170 g of Zn, what is the mass ratio of zinc to surfide? (b) How many kilograms of Zn are in 3.82 kg of ZnS?

Answer 1

The mass ratio of zinc to sulfide in ZnS is calculated by dividing the given masses, resulting in a ratio of 170 g Zn to 84 g S. To find out how many kilograms of Zn are in 3.82 kg of ZnS, the approximate percentage of Zn in ZnS (66.93%) is used, yielding 2.56 kg of Zn.

Step-by-step explanation:

The student's questions are centered around stoichiometry and the composition of zinc sulfide (ZnS), which is the mineral known as zinc blende.

(a) To find the mass ratio of zinc to sulfide in ZnS, we can divide the mass of zinc by the mass of sulfide in the given sample. Since there are 254 g of ZnS containing 170 g of Zn, the mass of sulfide (S) is 254 g - 170 g = 84 g. The mass ratio of zinc to sulfide is therefore 170 g Zn : 84 g S.

(b) To calculate how many kilograms of Zn are in 3.82 kg of ZnS, we use the same ratio found in part (a). The mass of Zn represents approximately 66.93% of the mass of ZnS (170 g Zn / 254 g ZnS). Therefore, 3.82 kg of ZnS would contain approximately 2.56 kg of Zn (3.82 kg × 66.93%).

Answer 2

The mass ratio of zinc to sulfide is 85:42.

2.5559 kg of Zn are in 3.82 kg of ZnS.

Step-by-step explanation:

a) Mass of zinc sulfide = 254 g

Mass of zinc in a zinc sulfide sample = 170 g

Mass of sulfide in zinc sulfide sample = x

254 g = 170 g+ x

x = 84 g

The mass ratio of zinc to sulfide:

`(170 g)/(84 g)=(85)/(42)`

b) Mass of zincsulfide sample = 3.83 kg

The mass ratio of zinc to sulfide is 85:42.

Let the mass of zinc and sulfide be 85x and 42x respectively:

85 x+ 42 x=3.82 kg

x =0.03007 kg

Mass of an zinc= 85x=85 × 0.03007 kg= 2.5559 kg