Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The equation below shows a general equation for a reaction, and the amounts of the substances are written underneath.

[tex]\[
\begin{array}{rl}
AB + CD & \rightarrow AC + BD \\
(15 \, \text{g}) + (?) & \rightarrow (?) + (10 \, \text{g})
\end{array}
\][/tex]

The total mass of the products is 50 g. Which best completes the other two amounts?

A. The amount of [tex]\(CD\)[/tex] is 40 g, and the amount of [tex]\(AC\)[/tex] is 35 g.

B. The amount of [tex]\(CD\)[/tex] is 35 g, and the amount of [tex]\(AC\)[/tex] is 40 g.

C. The amount of [tex]\(CD\)[/tex] and [tex]\(AC\)[/tex] would be the same.

D. The amount of [tex]\(CD\)[/tex] and [tex]\(AC\)[/tex] is undetermined.

Sagot :

GinnyAnswer
To solve this problem, we can use the law of conservation of mass, which states that the mass of the reactants must equal the mass of the products in a chemical reaction.

Given data:
- Mass of [tex]\( AB \)[/tex] is 15 g
- Mass of [tex]\( BD \)[/tex] is 10 g
- Total mass of the products [tex]\( AC \)[/tex] and [tex]\( CD \)[/tex] is 50 g.

First, calculate the total mass of the reactants:
[tex]\[ \text{Total mass of reactants} = \text{mass of } AB + \text{mass of } BD = 15 \text{ g} + 10 \text{ g} = 25 \text{ g} \][/tex]

Since the law of conservation of mass holds, the total mass of the reactants (25 g) should equal the total mass of the products. Therefore, the remaining mass for the products [tex]\(AC\)[/tex] and [tex]\(CD\)[/tex] is:
[tex]\[ \text{Total mass of products} - \text{Mass of reactants} = 50 \text{ g} - 25 \text{ g} = 25 \text{ g} \][/tex]

The remaining 25 g is the combined mass of [tex]\( AC \)[/tex] and [tex]\( CD \)[/tex]. Now we need to determine which option correctly distributes this 25 g between [tex]\( AC \)[/tex] and [tex]\( CD \)[/tex].

Given the options:
1. The amount of [tex]\( CD \)[/tex] is 40 g, and the amount of [tex]\( AC \)[/tex] is 35 g.
2. The amount of [tex]\( CD \)[/tex] is 35 g, and the amount of [tex]\( AC \)[/tex] is 40 g.
3. The amounts of [tex]\( CD \)[/tex] and [tex]\( AC \)[/tex] would be the same (each would be 12.5 g).
4. The amount of [tex]\( CD \)[/tex] and [tex]\( AC \)[/tex] is undetermined.

We can test each option to see which ones fit the remaining mass of 25 g:

1. If [tex]\( CD \)[/tex] is 40 g and [tex]\( AC \)[/tex] is 35 g:
- Total mass = 40 g + 35 g = 75 g (This exceeds the remaining 25 g, so this option is incorrect).
2. If [tex]\( CD \)[/tex] is 35 g and [tex]\( AC \)[/tex] is 40 g:
- Total mass = 35 g + 40 g = 75 g (This also exceeds the remaining 25 g, so this option is incorrect).
3. If the amounts of [tex]\( CD \)[/tex] and [tex]\( AC \)[/tex] are the same (each would be 12.5 g):
- Total mass = 12.5 g + 12.5 g = 25 g (This fits the remaining mass exactly, so this option is correct).

The correct answer is:
The amount of [tex]\( CD \)[/tex] and [tex]\( AC \)[/tex] would be the same, with each being 12.5 g.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.