Elements A and B react according to the following balanced equation.

3A2 + 2B → 2A3B

The molar mass of element A is 4 g/mol. The molar mass of element B is 16 g/mol. When the initial mass of element A is 48 grams, which mass of element B should be present?

Responses-

a- 128 grams

b- 192 grams

c- 64 grams

d- 96 grams

1 answer

To solve this problem, we need to use stoichiometry, which is a method to calculate the amounts of reactants and products in a chemical reaction based on the balanced equation.

First, we need to calculate the number of moles of element A present in 48 grams:

48 g / 4 g/mol = 12 mol A

Next, we use the stoichiometry of the balanced equation to find the number of moles of element B required to react with 12 mol A:

3 mol A2 / 2 mol B = 2 mol A3B / 1 mol B

12 mol A / 3 mol A2 * 2 mol A3B / 1 mol B = 8 mol B

Finally, we convert the number of moles of element B to mass using its molar mass:

8 mol B * 16 g/mol = 128 grams

Therefore, the answer is (a) 128 grams of element B should be present.
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