# TEMPERATURE PROBLEM SET TEMPERATURE PROBLEM SET

(from College Chemistry by J.L. Rosenberg, L.M. Epstein, and P.J. Krieger)

1. Sodium metal has a very wide liquid range, melting at 98°C and boiling at 892°C.

Express the liquid range in degrees Celsius, kelvins, and degrees Fahrenheit.

Range = 892°C – 98°C = 794°C

Increase (decrease) of temperature by 1°C = Increase (decrease) of temperature by 1 K, therefore Range = 794 K

Increase (decrease) of temperature by 1°C = Increase (decrease) of temperature by 1.8°C, therefore Range = 794 × 1.8 = 1429°F

2. At what temperature have the Celsius and Fahrenheit readings the same numerical value?

F = 1.8×C + 32 and F = C

C = 1.8×C + 32

– 0.8×C = 32

– 40°C = – 40°F

3. Construct a temperature scale in which the freezing and boiling points of water are

100°X and 400°X, respectively, and the degree interval is a constant multiple of the

Celsius degree interval. What is the absolute zero on this scale?

°X = 3×°C + 100

Absolute Zero: –273°C; 3×(–273) + 100 = –719°X

C = 32 / (– 0.8)

C = – 40