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Question : Which of the following statem...

Question : Which of the following statements is/are correct

A

`196.0 g` of pure `H_(2) SO_(4)` is required for the production of `365.0 g` of conc `HCl` containing 40% `HCl` by weight.

B

`245.0 g` of 80% `H_(2)SO_(4)` by weight is required for the production of `365.0 g` conc. `HCl` containing 40% `HCl` be weight

C

2 mol of pure `H_(2)SO_(4)` is required for the production of `365 g` of 40% `HCl`

D

2.5 mol of 80% `H_(2)SO_(4)` is required for the production of `36.5g` of 40% HCl`.

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the statements regarding the production of hydrochloric acid (HCl) from sulfuric acid (H2SO4) are correct, we will analyze each statement step by step. ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to evaluate the correctness of four statements regarding the production of HCl from H2SO4. We know that sulfuric acid can produce hydrochloric acid in a specific ratio. 2. **Molecular Weights**: - The molecular weight of H2SO4 (sulfuric acid) is 98 g/mol. - The molecular weight of HCl (hydrochloric acid) is approximately 36.5 g/mol. 3. **Calculating the Amount of HCl**: - For the first statement, we need to find out how much H2SO4 is required to produce 365 g of 40% HCl. - The weight of HCl in the solution is 40% of 365 g: \[ \text{Weight of HCl} = 0.40 \times 365 \, \text{g} = 146 \, \text{g} \] 4. **Moles of HCl Produced**: - To find the moles of HCl produced: \[ \text{Moles of HCl} = \frac{146 \, \text{g}}{36.5 \, \text{g/mol}} = 4 \, \text{moles} \] 5. **Relating H2SO4 to HCl**: - From the stoichiometry, 1 mole of H2SO4 produces 2 moles of HCl. - Therefore, to produce 4 moles of HCl, we need: \[ \text{Moles of H2SO4} = \frac{4 \, \text{moles HCl}}{2} = 2 \, \text{moles H2SO4} \] 6. **Mass of H2SO4 Required**: - The mass of 2 moles of H2SO4 is: \[ \text{Mass of H2SO4} = 2 \, \text{moles} \times 98 \, \text{g/mol} = 196 \, \text{g} \] - Thus, the first statement is correct. 7. **Evaluating the Second Statement**: - The second statement claims that 245 g of 80% H2SO4 is needed. - The weight of pure H2SO4 in 245 g of 80% solution is: \[ \text{Weight of H2SO4} = 0.80 \times 245 \, \text{g} = 196 \, \text{g} \] - Since we already calculated that 196 g of H2SO4 is needed to produce 146 g of HCl, the second statement is also correct. 8. **Evaluating the Third Statement**: - The third statement claims that 2 moles of pure H2SO4 are required for the production of 365 g of 40% HCl. - As calculated, we need 2 moles of H2SO4 to produce 4 moles of HCl, confirming that the third statement is correct. 9. **Evaluating the Fourth Statement**: - The fourth statement claims that 2.5 moles of 80% sulfuric acid are required for the production of 36.5 g of 40% HCl. - First, calculate the weight of HCl: \[ \text{Weight of HCl} = 0.40 \times 36.5 \, \text{g} = 14.6 \, \text{g} \] - The moles of HCl produced: \[ \text{Moles of HCl} = \frac{14.6 \, \text{g}}{36.5 \, \text{g/mol}} \approx 0.4 \, \text{moles} \] - Moles of H2SO4 required: \[ \text{Moles of H2SO4} = \frac{0.4 \, \text{moles HCl}}{2} = 0.2 \, \text{moles H2SO4} \] - The mass of 0.2 moles of pure H2SO4 is: \[ \text{Mass of H2SO4} = 0.2 \times 98 \, \text{g/mol} = 19.6 \, \text{g} \] - The mass of 80% H2SO4 needed: \[ \text{Mass of 80% H2SO4} = \frac{19.6 \, \text{g}}{0.80} = 24.5 \, \text{g} \] - Therefore, 2.5 moles of 80% H2SO4 is not required for 36.5 g of HCl, making the fourth statement incorrect. ### Conclusion: - **Correct Statements**: 1, 2, and 3. - **Incorrect Statement**: 4.

To determine which of the statements regarding the production of hydrochloric acid (HCl) from sulfuric acid (H2SO4) are correct, we will analyze each statement step by step. ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to evaluate the correctness of four statements regarding the production of HCl from H2SO4. We know that sulfuric acid can produce hydrochloric acid in a specific ratio. 2. **Molecular Weights**: ...
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