Let's address the problem step by step:
1. Identify the reaction:
The reaction given is [tex]\( A + B \rightarrow AB \)[/tex]. This indicates that one unit of substance [tex]\( A \)[/tex] reacts with one unit of substance [tex]\( B \)[/tex] to produce one unit of substance [tex]\( AB \)[/tex]. This is a 1:1 ratio.
2. Amounts of substances combined:
Colin added 10 grams of substance [tex]\( A \)[/tex] and 45 grams of substance [tex]\( B \)[/tex].
3. Determine total mass:
Since the reaction is in a 1:1 ratio, all of the given substances [tex]\( A \)[/tex] and [tex]\( B \)[/tex] will combine to form [tex]\( AB \)[/tex], without any excess. Thus, we need to calculate the total mass of the newly formed substance [tex]\( AB \)[/tex].
4. Calculate total mass of [tex]\( AB \)[/tex]:
The mass of [tex]\( AB \)[/tex] formed will be the sum of the masses of substance [tex]\( A \)[/tex] and substance [tex]\( B \)[/tex].
[tex]\[
\text{Total mass of } AB = \text{Mass of } A + \text{Mass of } B
\][/tex]
Substituting the given values:
[tex]\[
\text{Total mass of } AB = 10 \text{ g} + 45 \text{ g} = 55 \text{ g}
\][/tex]
Therefore, Colin would make [tex]\( 55 \)[/tex] grams of substance [tex]\( AB \)[/tex].
The correct answer is:
[tex]\[
\boxed{55 \text{ g}}
\][/tex]
