Question

The triple points of neon and carbon dioxide are 24.57 K and 216.55 K, respectively. Express these temperatures on the celsius and fahrenheit scales.

Answer 1

Given: For neon, T_K = 24.57 K

For carbon dioxide, T_K = 216.55 K

To find:

(i) Triple point of neon on celsius (T_CN) and fahrenheit scale (T_FN)

(ii) Triple point of carbon dioxide on Celsius (T_CC) and fahrenheit scale (T_FC)

Formulae:

(i) T_K – 273.15 = T_C

(ii) \(\frac{T_K-273.15}{100}=\frac{T_C-32}{180}\)

Calculation: From formula (i),

T_C = T_K – 273.15

For neon, T_CN = 24.57 – 273.15

∴ T_CN = -248.58 °c

For carbon dioxide.

T_CC = 216.55 – 273.15

∴ T_CC = -56.60 °c

From formula (ii),

T_F = \(\frac{9}{5}\)(T_K – 273.15) + 32

For neon, T_K = 24.57 K

∴ T_FN = \(\frac{9}{5}\)[24.57 – 273.15] + 32

∴ T_FN = -415.44 °F

For CO₂, TK = 216.55 K

∴ T_FC = \(\frac{9}{5}\)(216.55 – 273.15) + 32

∴ T_FC = -69.88 °F

(i) Triple point of neon on celsius scale is -248.58 °c and on a fahrenheit scale is -415.44 °F.

(ii) Triple point of carbon-dioxide on celsius scale is -56.60 °C and on fahrenheit scale is -69.88 °F.