What is the temperature on the Fahrenheit scale of the normal boiling point of \(\mathrm{H}_{2} \mathrm{O}\). if this temperature is \(99.974^{\circ} \mathrm{C} ?\) (Use five significant figures.)

Temperature conversion is a common task in science and many everyday situations. To convert temperatures between scales, we often use formulas. For example, converting Celsius (°C) to Fahrenheit (°F) involves the formula: \( F = \frac{9}{5}C + 32 \).
In this formula, \(C \) is the temperature in Celsius, and \( F \) is the temperature in Fahrenheit.
Let's take an example where we convert the boiling point of water, which is 99.974°C, to Fahrenheit.
Start by substituting the given temperature into the formula: \[ F = \frac{9}{5} \times 99.974 + 32 \]
As you can see, temperature conversion formulas are handy tools for quickly switching between different units of temperature.

Significant figures are essential in scientific calculations. They help convey the precision of measurements.
When given a number like 99.974°C, the figures following the decimal point indicate the precision of the measurement.
In our example, when converting to Fahrenheit, we need to ensure the same level of precision.
After performing the conversion steps, let's break down how significant figures come into play:

• Calculate the multiplication part: \[ \frac{9}{5} \times 99.974 = 179.9532 \]
• Add 32 to the result to get: \[ 179.9532 + 32 = 211.9532 \]
• Round to five significant figures, resulting in 211.95°F

This keeps our calculation precise and reliable by maintaining the appropriate number of significant figures throughout.

The boiling point of a substance is the temperature at which it changes from a liquid to a gas.
For water, this typically occurs at 100°C under standard atmospheric pressure. However, precision matters, and it can be measured more accurately as 99.974°C.
In temperature conversion contexts, knowing the boiling point is crucial. It often serves as a reference point in science and engineering.
By converting this boiling point to Fahrenheit, we recognize its importance in diverse contexts and how it maintains its crucial role across different temperature scales. So, the next time you hear about boiling point, know that it's a temperature milestone with significant scientific relevance.