Question

the equation below shows a general equation for a reaction, and the amounts of the substance are written underneath.
ab + cd → ac + bd
(15 g) (?) (?) (10 g)
the total mass of the products is 50g. which best completes the other two amounts?
the amount of cd is 40 g, and the amount of ac is 35 g.
the amount of cd is 35 g, and the amount of ac is 40 g.
the amount of cd and ac would be the same.
the amount of cd and ac is undetermined.

Explanation:

Step1: Recall the Law of Conservation of Mass

The total mass of reactants equals the total mass of products. The products are \( AC \) and \( BD \), with total mass \( 50 \, \text{g} \) (given \( BD = 10 \, \text{g} \), so \( AC + 10 = 50 \), thus \( AC = 40 \, \text{g} \)).

Step2: Calculate mass of \( CD \)

Reactants are \( AB \) (15 g) and \( CD \). Total reactant mass = total product mass = 50 g. So \( 15 + \text{mass of } CD = 50 \), so \( \text{mass of } CD = 50 - 15 = 35 \, \text{g} \).

Step3: Match with options

Check options: The amount of \( CD \) is 35 g, and the amount of \( AC \) is 40 g matches our calculations.

Answer:

The amount of CD is 35 g, and the amount of AC is 40 g.