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A: One mole of sucrose-reacts completely...

A: One mole of sucrose-reacts completely with oxygen produces 268.8 litre of carbon dioxide at STP.
R: Amount of oxygen required for reaction is 268.8 litre.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion

C

If Assertion is true statement but Reason is false

D

If both Assertion and Reason are false statements

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the assertion and reason statements provided. ### Step-by-Step Solution: 1. **Understanding the Reaction**: The chemical formula for sucrose is C₁₂H₂₂O₁₁. When sucrose reacts with oxygen (O₂), it produces carbon dioxide (CO₂) and water (H₂O). The balanced equation for the combustion of sucrose can be written as: \[ C_{12}H_{22}O_{11} + O_2 \rightarrow CO_2 + H_2O \] 2. **Balancing the Reaction**: To balance the reaction, we need to ensure that the number of atoms for each element is the same on both sides. The balanced equation is: \[ C_{12}H_{22}O_{11} + 12 O_2 \rightarrow 12 CO_2 + 11 H_2O \] This shows that 1 mole of sucrose produces 12 moles of carbon dioxide. 3. **Calculating the Volume of CO₂**: At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. Therefore, the volume of 12 moles of CO₂ produced is: \[ \text{Volume of } CO_2 = 12 \text{ moles} \times 22.4 \text{ L/mole} = 268.8 \text{ L} \] 4. **Assertion Evaluation**: The assertion states that 1 mole of sucrose reacts completely with oxygen to produce 268.8 liters of carbon dioxide at STP. Based on our calculations, this statement is true. 5. **Reason Evaluation**: The reason states that the amount of oxygen required for the reaction is 268.8 liters. From the balanced equation, we see that 1 mole of sucrose reacts with 12 moles of oxygen. Thus, the volume of oxygen required at STP is also: \[ \text{Volume of } O_2 = 12 \text{ moles} \times 22.4 \text{ L/mole} = 268.8 \text{ L} \] This statement is also true. 6. **Conclusion**: Both the assertion and reason are true. However, the reason does not correctly explain the assertion because it does not directly relate to the production of CO₂ from sucrose. Therefore, the correct option is that both statements are true, but the reason is not a correct explanation of the assertion. ### Final Answer: - Assertion (A) is true. - Reason (R) is true but does not explain A.
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