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A mixture of 2.3 g formic acid and 4.5 g...

A mixture of 2.3 g formic acid and 4.5 g oxalic acid is treated with conc. `H_(2)SO_(4)`. The evolved gaseous mixture is passed through KOH pellets. Weight (in g) of the remaining product at STP will be

A

(a) 2.8

B

(b) 3

C

(c) 1.4

D

(d) 4.4

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the weight of the remaining product after treating a mixture of formic acid and oxalic acid with concentrated sulfuric acid and then passing the evolved gases through KOH pellets. ### Step-by-Step Solution: 1. **Identify the acids and their weights:** - Formic acid (HCOOH): 2.3 g - Oxalic acid (C2H2O4): 4.5 g 2. **Calculate the molecular weight of formic acid (HCOOH):** - H: 1 g × 2 = 2 g - C: 12 g × 1 = 12 g - O: 16 g × 2 = 32 g - Total = 2 + 12 + 32 = 46 g/mol 3. **Calculate the moles of formic acid:** \[ \text{Moles of HCOOH} = \frac{\text{Given weight}}{\text{Molecular weight}} = \frac{2.3 \text{ g}}{46 \text{ g/mol}} = \frac{2.3}{46} \approx 0.050 \text{ moles} \] 4. **Reaction of formic acid with concentrated H2SO4:** - The reaction produces carbon monoxide (CO) and water (H2O). - Moles of CO produced = Moles of HCOOH reacted = 0.050 moles. 5. **Calculate the molecular weight of oxalic acid (C2H2O4):** - C: 12 g × 2 = 24 g - H: 1 g × 2 = 2 g - O: 16 g × 4 = 64 g - Total = 24 + 2 + 64 = 90 g/mol 6. **Calculate the moles of oxalic acid:** \[ \text{Moles of C2H2O4} = \frac{4.5 \text{ g}}{90 \text{ g/mol}} = \frac{4.5}{90} = 0.050 \text{ moles} \] 7. **Reaction of oxalic acid with concentrated H2SO4:** - The reaction produces carbon monoxide (CO), carbon dioxide (CO2), and water (H2O). - Moles of CO produced = Moles of C2H2O4 reacted = 0.050 moles. - Moles of CO2 produced = 0.050 moles. 8. **Total moles of gases produced:** - From formic acid: 0.050 moles of CO - From oxalic acid: 0.050 moles of CO + 0.050 moles of CO2 - Total moles of CO = 0.050 + 0.050 = 0.100 moles of CO - Total moles of CO2 = 0.050 moles of CO2 9. **Passing the gas mixture through KOH pellets:** - KOH absorbs CO2, leaving CO in the remaining gas. - Remaining gas = 0.100 moles of CO. 10. **Calculate the mass of the remaining CO:** - Molar mass of CO = 12 g (C) + 16 g (O) = 28 g/mol \[ \text{Mass of remaining CO} = \text{Moles} \times \text{Molar mass} = 0.100 \text{ moles} \times 28 \text{ g/mol} = 2.8 \text{ g} \] ### Final Answer: The weight of the remaining product at STP will be **2.8 g**.

To solve the problem, we need to calculate the weight of the remaining product after treating a mixture of formic acid and oxalic acid with concentrated sulfuric acid and then passing the evolved gases through KOH pellets. ### Step-by-Step Solution: 1. **Identify the acids and their weights:** - Formic acid (HCOOH): 2.3 g - Oxalic acid (C2H2O4): 4.5 g ...
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