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.
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.
1 Answers
Given: For neon, TK = 24.57 K
For carbon dioxide, TK = 216.55 K
To find:
(i) Triple point of neon on celsius (TCN) and fahrenheit scale (TFN)
(ii) Triple point of carbon dioxide on Celsius (TCC) and fahrenheit scale (TFC)
Formulae:
(i) TK – 273.15 = TC
(ii) \(\frac{T_K-273.15}{100}=\frac{T_C-32}{180}\)
Calculation: From formula (i),
TC = TK – 273.15
For neon, TCN = 24.57 – 273.15
∴ TCN = -248.58 °c
For carbon dioxide.
TCC = 216.55 – 273.15
∴ TCC = -56.60 °c
From formula (ii),
TF = \(\frac{9}{5}\)(TK – 273.15) + 32
For neon, TK = 24.57 K
∴ TFN = \(\frac{9}{5}\)[24.57 – 273.15] + 32
∴ TFN = -415.44 °F
For CO2, TK = 216.55 K
∴ TFC = \(\frac{9}{5}\)(216.55 – 273.15) + 32
∴ TFC = -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.