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Match the column I with column II and mark the appropriate choiceColumn I Column II(i) Mass of H2 produced when 0.5 mole of zinc reacts with excess of HCl (a) 3.011 × 1023 molecules(ii) Mass of all atoms of a compound with formula C70H22 (b) 6.023 × 1023 molecules(iii) Number of molecules in 35.5 g of Cl2 (c) 1.43 × 10–21 g(iv) Number of molecules in 64 g of SO2 (d) 1g

Question

Match the column I with column II and mark the appropriate choiceColumn I Column II(i) Mass of H2 produced when 0.5 mole of zinc reacts with excess of HCl (a) 3.011 × 1023 molecules(ii) Mass of all atoms of a compound with formula C70H22 (b) 6.023 × 1023 molecules(iii) Number of molecules in 35.5 g of Cl2 (c) 1.43 × 10–21 g(iv) Number of molecules in 64 g of SO2 (d) 1g

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Solution

To match the columns, we need to understand the concepts of moles, molar mass, and Avogadro's number (6.023 x 10^23).

(i) Mass of H2 produced when 0.5 mole of zinc reacts with excess of HCl

The balanced chemical equation for the reaction of zinc with HCl is: Zn + 2HCl -> ZnCl2 + H2. From this equation, we can see that 1 mole of zinc produces 1 mole of H2. Therefore, 0.5 mole of zinc will produce 0.5 mole of H2. The molar mass of H2 is 2 g/mole, so 0.5 mole of H2 will have a mass of 1 g. Therefore, (i) matches with (d).

(ii) Mass of all atoms of a compound with formula C70H22

The molar mass of C70H22 is (7012.01 g/mole for C) + (221.01 g/mole for H) = 842.7 g/mole. This is the mass of 1 mole of C70H22, which contains 6.023 x 10^23 molecules. Therefore, (ii) matches with (b).

(iii) Number of molecules in 35.5 g of Cl2

The molar mass of Cl2 is 70.9 g/mole. Therefore, 35.5 g of Cl2 is 0.5 mole. Since 1 mole contains 6.023 x 10^23 molecules, 0.5 mole will contain 3.011 x 10^23 molecules. Therefore, (iii) matches with (a).

(iv) Number of molecules in 64 g of SO2

The molar mass of SO2 is 64 g/mole. Therefore, 64 g of SO2 is 1 mole, which contains 6.023 x 10^23 molecules. Therefore, (iv) matches with (b).

So, the final matching is:

(i) - (d) (ii) - (b) (iii) - (a) (iv) - (b)

This problem has been solved

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To solve this problem, we will follow these steps: a) Determine the limiting reactant: Calculate the moles of each reactant: Moles of Zn: 6.5 g / molar mass of Zn Moles of HCl: 5.0 g / molar mass of HCl Use the stoichiometry of the reaction to determine the moles of product formed from each reactant: Moles of ZnCl2 from Zn: moles of Zn / 1 (from the balanced equation) Moles of ZnCl2 from HCl: moles of HCl / 2 (from the balanced equation) The limiting reactant is the one that produces the least amount of product. In this case, HCl is the limiting reactant because it produces less ZnCl2 compared to Zn. b) Calculate the grams of the reactant that remain unreacted: Calculate the moles of HCl consumed in the reaction. Calculate the moles of HCl remaining by subtracting the moles consumed from the initial moles. Convert the remaining moles of HCl to grams. c) Calculate the grams of hydrogen gas produced: Determine the moles of H2 produced from the moles of HCl consumed. Convert the moles of H2 to grams using the molar mass of hydrogen gas. Given: Molar mass of Zn = 65.38 g/mol Molar mass of HCl = 36.46 g/mol Molar mass of H2 = 2.02 g/mol Let's perform the calculations: a) Limiting reactant: Moles of Zn: 6.5 g / 65.38 g/mol = 0.0994 mol Moles of HCl: 5.0 g / 36.46 g/mol = 0.137 mol Moles of ZnCl2 from Zn: 0.0994 mol Moles of ZnCl2 from HCl: 0.137 mol / 2 = 0.0685 mol HCl is the limiting reactant because it produces less ZnCl2. b) Remaining unreacted HCl: Initial moles of HCl = 0.137 mol Moles of HCl consumed = 0.137 mol - 0.0685 mol = 0.0685 mol Remaining moles of HCl = 0.137 mol - 0.0685 mol = 0.0685 mol Remaining grams of HCl = 0.0685 mol * 36.46 g/mol = 2.50 g c) Grams of hydrogen gas produced: Moles of H2 produced = 0.0685 mol (from the consumed HCl) Grams of H2 produced = 0.0685 mol * 2.02 g/mol = 0.1387 g Therefore: a) HCl is the limiting reactant. b) 2.50 grams of HCl remain unreacted. c) 0.1387 grams of hydrogen gas would be produced.

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