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

$T_s = 20.0^\circ\textrm{C}$

$T_w = 25.6^\circ\textrm{C}$

Solution Video

OpenStax College Physics Solution, Chapter 13, Problem 3 (Problems & Exercises) (0:38)

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Video Transcript

This is College Physics Answers with Shaun Dychko. The formula for converting Fahrenheit temperatures into Celsius is to subtract 32 from the temperature in degrees Fahrenheit and then multiply that difference by five over nine. So in the summer, where we write a subscript <i>s</i> there to say temperature in the summer. The temperature in degree Celsius will be five ninths times 68 minus 32. So that gives 20.0 degrees Celsius. Then in the winter we have five ninths times 78 degrees Fahrenheit minus 32 which is 25.6 degrees Celsius.