Convert 60ºC to degree Fahrenheit

Analysis

To convert temperature from Celsius ($^\circ\text{C}$) to Fahrenheit ($^\circ\text{F}$), we use a standard linear conversion formula. This is a common topic in JAMB Physics under the "Heat Energy" module.

Concept

The relationship between the Celsius scale and the Fahrenheit scale is defined by the formula:

Where:

• $F$ is the temperature in Fahrenheit.
• $C$ is the temperature in Celsius.

Solution

Given that $C = 60^\circ\text{C}$, we substitute this value into the formula:

1. Multiply by 9/5: $$\frac{9}{5} \times 60 = 9 \times 12 = 108$$ (Note: $60 \div 5 = 12$, and $12 \times 9 = 108$)

2. Add 32: $$108 + 32 = 140$$

So, $60^\circ\text{C} = 140^\circ\text{F}$.

Conclusion

Comparing our result to the given options, the correct value is 140.00$^\circ$F.

Correct Option: D

Exam Tip

To remember the formula easily, think of the freezing and boiling points of water:

• Water freezes at $0^\circ\text{C}$ ($32^\circ\text{F}$) and boils at $100^\circ\text{C}$ ($212^\circ\text{F}$).
• The difference is $100$ degrees on the Celsius scale and $180$ degrees on the Fahrenheit scale ($212 - 32 = 180$).
• The ratio $180/100$ simplifies to $9/5$. Always remember to add the $32$ offset because the scales don't start at the same point!