Question:
For the following reaction, the mass of water produced from $445 \mathrm{~g}$ of $\mathrm{C}_{57} \mathrm{H}_{110} \mathrm{O}_{6}$ is :
$2 \mathrm{C}_{57} \mathrm{H}_{110} \mathrm{O}_{6}(\mathrm{~s})+163 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 114 \mathrm{CO}_{2}(\mathrm{~g})+110 \mathrm{H}_{2} \mathrm{OP}(1)$
Correct Option: 1
Solution:
moles of $\mathrm{C}_{57} \mathrm{H}_{110} \mathrm{O}_{6}(\mathrm{~s})=\frac{445}{890}=0.5$ moles
$2 \mathrm{C}_{57} \mathrm{H}_{110} \mathrm{O}_{6}(\mathrm{~s})+163 \mathrm{O}_{2}(\mathrm{~g}) \rightarrow 114 \mathrm{CO}_{2}(\mathrm{~g})+110 \mathrm{H}_{2} \mathrm{O}(l)$
$\mathrm{n}_{\mathrm{H}_{2} \mathrm{O}}=\frac{110}{4}=\frac{55}{2}$
$m_{H_{2} \mathrm{O}}=\frac{55}{2} \times 18$
$=495 \mathrm{gm}$