Question

Maximum mass of sucrose ($C_{12}{H}_{22}{O}_{11}$) produced by mixing $84$ g of carbon, $12$ g of hydrogen and $56$ L $O_2$ at $1$ atm and $273$ K according to given reaction, $C\left(s\right)+H_2\left(g\right)+O_2\left(g\right)\to C_{12}{H}_{22}{O}_{11}\left(s\right)$ is :

• A. $138.5$
• B. $155.5$
• C. $172.5$
• D. $199.5$

Answer 1

Answer: (B)

$155.5$

The balanced chemical reaction is $24C\left(s\right)+22H_2\left(g\right)+11O_2\left(g\right)\to 2C_{12}{H}_{22}{O}_{11}\left(s\right)$.
The number of moles of carbon, hydrogen and oxygen present are $\frac{84}{12}=7$, $\frac{12}{2}=6$ and $\frac{56}{22.4}=2.5$ moles respectively.
Oxygen is the limiting reagent.
The mass of sucrose present is $2.5\times \frac{2}{11}\times 342=155.5$ g.