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
⇒13.8138=12×mass of K2Zn3[Fe(CN)6]2698
⇒mass of K2Zn3[Fe(CN)6]2=13.8138×69812=5.82 g