Question

The mercury falls by $\frac{8}{15}$ parts between two standard points on the Celsius thermometer when the boiling water at $100°C$ is allowed to cool to room temperature. Calculate room temperature in the Fahrenheit scale.

Answer 1

Step 1: Given data

The lowest temperature of the water on the Celsius scale is $0°C$

And the highest temperature of the water on the Celsius scale is $100°C$

So, the gap between two standard points on the Celsius scale =$\left(100-0\right)°C=100°C$

Step 2: To find the required temperature on the Celsius scale

Since the mercury falls by $\frac{8}{15}$ parts between two standard points

So the room temperature will be $\left(\frac{8}{15}\times 100\right)°C$

The room temperature will be $53.33°C$.

Step 3: To get the temperature on the Fahrenheit scale

We know that,

$\frac{C}{5}=\frac{F-32}{9}$

$\frac{53.33}{5}=\frac{F-32}{9}$

$F-32=\left(10.67\times 9\right)$

$F=\left(32+96.03\right)$

$F=128.03°F$

Hence, the required temperature on the Fahrenheit scale $=128.03°F$.