Question

Two samples of a compound containing elements A and B were decomposed. The first sample produced 15 g of A and 35 g of B. If the second sample produced 25 g of A, what mass of B was produced?

(A) 11 g
(B) 21 g
(C) 45 g
(D) 58 g

Answer 1

To determine the mass of B produced in the second sample, we can use the Law of Definite Proportions. The mass ratio of A to B in the first sample is 3:7. Using this ratio, we can find that 58 g of B was produced in the second sample.

Step-by-step explanation:

To determine the mass of B produced in the second sample, we can use the Law of Definite Proportions. According to this law, the ratio of masses of elements in a compound is always constant.

In the first sample, the mass ratio of A to B is 15 g:35 g = 3:7. This means that for every 3 grams of A, there are 7 grams of B.

Since the second sample produced 25 g of A, we can set up a proportion:

3 g A / 7 g B = 25 g A / x g B

Cross-multiplying and solving for x, we get x ≈ 58 g. Therefore, 58 g of B was produced in the second sample.