JEE MAIN - Chemistry (2024 - 8th April Morning Shift - No. 1)
Combustion of glucose $$(\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6)$$ produces $$\mathrm{CO}_2$$ and water. The amount of oxygen (in $$\mathrm{g}$$) required for the complete combustion of $$900 \mathrm{~g}$$ of glucose is :
[Molar mass of glucose in $$\mathrm{g} \mathrm{~mol}^{-1}=180$$]
Explanation
To determine the amount of oxygen required for the complete combustion of 900 g of glucose, we need to follow these steps:
First, let's write the balanced chemical equation for the combustion of glucose $$(\mathrm{C}_6\mathrm{H}_{12}\mathrm{O}_6)$$:
$$\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6 + 6 \mathrm{O}_2 \rightarrow 6 \mathrm{CO}_2 + 6 \mathrm{H}_2 \mathrm{O}$$
From the balanced equation, we see that 1 mole of glucose reacts with 6 moles of oxygen $$(\mathrm{O}_2)$$.
Next, let's calculate the number of moles of glucose in 900 g. The molar mass of glucose is given as $$180 \ \mathrm{g} \ \mathrm{mol}^{-1}$$.
Number of moles of glucose = $$\frac{900 \ \mathrm{g}}{180 \ \mathrm{g} \ \mathrm{mol}^{-1}} = 5 \ \mathrm{mol}$$
According to the balanced equation, 1 mole of glucose requires 6 moles of oxygen. Therefore, 5 moles of glucose will require:
Number of moles of oxygen = $$5 \ \mathrm{mol} \times 6 = 30 \ \mathrm{mol}$$
Now, we need to find the mass of 30 moles of oxygen. The molar mass of oxygen $$\left(\mathrm{O}_2\right)$$ is $$32 \ \mathrm{g} \ \mathrm{mol}^{-1}$$.
Mass of oxygen = $$30 \ \mathrm{mol} \times 32 \ \mathrm{g} \ \mathrm{mol}^{-1} = 960 \ \mathrm{g}$$
Therefore, the amount of oxygen required for the complete combustion of 900 g of glucose is 960 g.
So, the correct option is Option D: 960.
Comments (0)
