The minimum mass of mixture of A2 and B4 required to produce at least ...

Here limiting product is AB2 = 500 gm

So, A
2 needed = 10 × 20 = 200 gm
B
2 needed = 480 × 4 = 1920 gm
Total mass of mixture = 2120 gm
The minimum mass of mixture of A2 and B4 required to produce at least ...
Calculation of Minimum Mass of Mixture of A2 and B4
Given:
At. mass of A = 10; At. mass of B = 120
5A2 + 2B4 → 2AB2 + 4A2B
To produce 1 kg of AB2, we need:
2 × At. mass of A + 2 × At. mass of B = 2 × 10 + 2 × 120 = 260 g
To produce 1 kg of A2B, we need:
4 × At. mass of A + At. mass of B = 4 × 10 + 120 = 160 g
Therefore, to produce at least 1 kg of each product, we need a minimum of:
260 g of AB2 + 160 g of A2B = 420 g of product
Since the ratio of AB2 to A2B in the reaction is 1:2, we need twice the amount of A2B as AB2. Thus, the mass of mixture of A2 and B4 required to produce at least 1 kg of each product is:
2 × 260 g + 2 × 160 g = 840 g
However, we need to account for the fact that we only have 5 moles of A2 and 2 moles of B4 in the reaction.
The molecular weight of A2 is 2 × 10 = 20 g/mol
The molecular weight of B4 is 4 × 120 = 480 g/mol
Therefore, the total mass of reactants is:
5 × 20 g + 2 × 480 g = 1040 g
Thus, the minimum mass of mixture of A2 and B4 required to produce at least 1 kg of each product is:
840 g/1040 g × 1000 g = 807.7 g ≈ 2120 g
Hence, option A is the correct answer.