Alright, let's address the specific question regarding compound U and determining the value of [tex]\( n \)[/tex] given the relative molecular mass of [tex]\( U = 42000 \)[/tex], with [tex]\(\text{C} = 12 \)[/tex] and [tex]\(\text{H} = 1\)[/tex]:
### Step-by-Step Solution
1. Understanding the Problem:
- We are given the relative molecular mass of a compound [tex]\( U \)[/tex], which is [tex]\( 42000 \)[/tex].
- We need to determine the value of [tex]\( n \)[/tex] (which presumably stands for the number of carbon atoms or some component in the formula).
2. Given Data:
- Relative Molecular Mass of [tex]\( U \)[/tex] = 42000
- Atomic mass of Carbon ([tex]\( \text{C} \)[/tex]) = 12
- Atomic mass of Hydrogen ([tex]\( \text{H} \)[/tex]) = 1
3. Formulate the Problem:
- Since we are to find [tex]\( n \)[/tex], and assuming [tex]\( U \)[/tex] is composed primarily or entirely of carbon atoms (denoted as [tex]\( \text{C} \)[/tex]), we set up the equation for the molecular mass:
[tex]\[
\text{Relative Molecular Mass} = 12n
\][/tex]
- Here, [tex]\( 12 \)[/tex] represents the atomic mass of a single carbon atom and [tex]\( n \)[/tex] represents the number of carbon atoms.
4. Solve for [tex]\( n \)[/tex]:
- Rearrange the equation to solve for [tex]\( n \)[/tex]:
[tex]\[
n = \frac{\text{Relative Molecular Mass}}{\text{Atomic mass of Carbon}}
\][/tex]
- Substitute the given values into the equation:
[tex]\[
n = \frac{42000}{12}
\][/tex]
5. Perform the Calculation:
- Calculate the value of [tex]\( n \)[/tex]:
[tex]\[
n = 3500
\][/tex]
### Final Answer
The value of [tex]\( n \)[/tex] is [tex]\( 3500 \)[/tex].
