The boiling point of a liquid is the temperature at which
the liquid becomes a gas. The boiling point of mercury is
about 41/200 of the boiling point of lead. Write and solve an
equation to find the boiling point of lead.

Let's denote the boiling point of lead as \( L \) (in degrees Celsius).

According to the problem, the boiling point of mercury is \( \frac{41}{200} \) of the boiling point of lead. We can express this relationship as an equation:

\[
M = \frac{41}{200} \times L
\]

where:
- \( M \) is the boiling point of mercury,
- \( L \) is the boiling point of lead.

Now, we can solve this equation for \( L \). We rearrange the equation to isolate \( L \):

\[
L = \frac{M \times 200}{41}
\]

To solve for \( L \), we need the boiling point of mercury (which is known as \( 356.7^\circ C \)):

\[
L = \frac{356.7 \times 200}{41}
\]

Let's calculate the value of \( L \).The boiling point of lead is \( 1740^\circ C \).

Would you like more details or have any further questions?

Here are five related questions to consider:
1. What are other factors that can affect the boiling point of a substance?
2. How does atmospheric pressure influence the boiling point of liquids?
3. What are the melting points of mercury and lead, and how do they compare to their boiling points?
4. Why is mercury often used in thermometers despite its toxicity?
5. Can you explain how fractional distillation separates mixtures based on boiling points?

**Tip:** Always double-check your unit conversions and the constants used in calculations to avoid errors.

Learn how to solve a proportional equation to find the boiling point of lead. This problem involves understanding proportions and using a specific formula to calculate the boiling point based on given data points. Suitable for Grades 7-9.

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