Question

1. The following formula relates the quantities temperature in Celsius (C) and temperature in kelvins (K).

C = K − 273.15
(a) Write two other related equations.
(b) If the temperature is 23 in degrees Celsius, what is the temperature in kelvins? Show your work.
(c) Which is greater, 300 kelvins or 25 degrees Celsius? Show your work.

Answer 1

a) T(K) = T(°C) + 273.15
or
T (°C) = T(K) - 273.15

b) T(K) = 23 + 273.15
T(K) = 296.15 Kelvin

c) T (°C) = T(K) - 273.15
T (°C) = 300 - 273.15
T (°C) = 26.85 °C
So,
300 kelvins > 25 degrees Celsius

Answer 2

(b) If the temperature is 23 in degrees Celsius, what is the temperature in kelvins? Show your work.

C = K − 273.15
23 = K - 273.15
296.15 Kelvin

(c) Which is greater, 300 kelvins or 25 degrees Celsius? Show your work.

To compare, we need to convert both to the same units. We do as follows:

300 Kelvin
25+273.15 = 298.15 K

Therefore, 300 Kelvin is larger.