To conserve energy, room temperatures are kept at $68.0^{\circ }\text{F}$ in the winter and $78.0^{\circ }\text{F}$ in the summer. What are these temperatures on the Celsius scale?

Video Transcript

This is College Physics Answers with Shaun Dychko. To find the temperature in degrees Celsius, we subtract 32 from the temperature in degrees Fahrenheit and then multiply that difference by 5 over 9. So in the winter when the Fahrenheit temperature is 68.0 degrees, we subtract 32 from that, multiply by 5 over 9 and we get 20.0 degrees Celsius. Then in the summer—the subscript s here stands for 'summer' whereas up here the w stands for 'winter'— in the summer, we have 78.0 degrees Fahrenheit minus 32 times 5 over 9 is 25.6 degrees Celsius.