The pressure reading in a thermometer at steam point is 1.367 × 103 Pa. What is pressure reading at triple point knowing the linear relationship between temperature and pressure?
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Given: P = 1.367 × 103 Pa at steam point (T) i.e., at 273.15 + 100 = 373.15 K.
Linear relationship between temperature and pressure means that.
P ∝ T ⇒ P1T1 = P2T2
To find: Pressure reading (Ptriple)
Formula: Ptriple 273.16 × \((\frac{P}{T})\)
where Ptriple and P are the pressures at temperature of triple point (273.16 K) and T (375.15 K) respectively.
Calculation: From formula,
∴ Ptriple = 273.16 × \((\frac{1.367\times10^3}{373.15})\)
= 1000 × 103 Pa
Pressure reading is 1.000 × 103 Pa.