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Question

27.6 g of K2CO3 was treated by a series of reagents so as to covert all of its carbon to K2Zn3[Fe(CN)6]2. Calculate the mass of the product:
(Molecular mass of K2Zn3[Fe(CN)6]2 = 698 u)

A
13.60 g
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B
12.57 g
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C
15.89 g
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D
11.63 g
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Solution

The correct option is D 11.63 g
Given,
K2CO3several steps−−−−−−K2Zn3[Fe(CN)6]2

Since carbon atoms are conserved, applying Principle of Atom Conservation (POAC) for C atoms we get,
moles of C in K2CO3=moles of C in K2Zn3[Fe(CN)6]2

1×moles of K2CO3=12×moles of K2Zn3[Fe(CN)6]2
mass of K2CO3molar mass of K2CO3=12×mass of K2Zn3[Fe(CN)6]2Molar mass of K2Zn3[Fe(CN)6]2
27.6138=12×mass of K2Zn3[Fe(CN)6]2698
mass of K2Zn3[Fe(CN)6]2=27.6138×69812=11.63 g


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