To calculate:
a. The amount of
b. The amount of zinc which is required to convert
c. The volume of gold block in
Answer to Problem 7.91QA
Solution:
a. The amount of
b. The amount of zinc which is required to convert
c. The volume of gold block in
Explanation of Solution
1) Concept:
The overall process describes the extraction of gold from the rock using
The process occurs in two steps:
Both these reactions are balanced.
In a balanced chemical equation, if we know the amount of reactant, the amount of product can be calculated using stoichiometry of the reactions mentioned above.
2) Formula:
i)
ii)
3) Given:
The two steps involved to extract gold from the rock:
i)
ii)
iii) The mass of rock =
iv) The density of gold =
v) Mass % for gold =
4) Calculation:
a. Mass of rock
Mass percent of gold
Mass of gold extracted
Number of moles of Au is calculated as:
From the first given equation, the mole ratio of
Moles of
Converting mol of
b. The balanced chemical equation (for 1st step) is:
Mole ratio of
So, the number of moles of
The balanced chemical equation (for 2nd step) is:
Mole ratio of
So, the number of moles of Zn is calculated as:
Converting
c. The mass of gold extracted =
The density of gold =
Volume of gold ingot is calculates as:
All the quantitative information about the products can be obtained from the balanced equation.
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