Converting between Temperature Scales: Room Temperature

“Room temperature” is generally defined to be $25 º C$ . (a) What is room temperature in $º F$ ? (b) What is it in K?

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Strategy
To answer these questions, all we need to do is choose the correct conversion equations and plug in the known values.
Solution for (a)
1. Choose the right equation. To convert from $º C$ to $º F$ , use the equation
$T_{º F} = \frac{9}{5} T_{º C} + 32 .$
13.1

2. Plug the known value into the equation and solve:

$T_{º F} = \frac{9}{5} 25 º C + 32 = 77 º F .$
13.2
Solution for (b)
1. Choose the right equation. To convert from $º C$ to K, use the equation
$T_{K} = T_{º C} + 273 . 15 .$
13.3

2. Plug the known value into the equation and solve:

$T_{K} = 25 º C + 273 . 15 = 298$
13.4

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