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QPages 12-14: Q2: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 12-14: Q2 Solution: A constant-volume thermometer registers a pressure of at the…

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When using a constant‑volume gas thermometer, the pressure is proportional to the absolute temperature, so you must insert temperatures in kelvins (not °C) and use absolute pressures; mixing Celsius values or gauge pressures gives a wrong boiling‑point temperature.

A constant-volume thermometer registers a pressure of 1.500×104 Pa1.500 \times 10^4 \text{ Pa} at the triple point of water and a pressure of 2.050×104 Pa2.050 \times 10^4 \text{ Pa} at the normal boiling point. What is the temperature at the normal boiling point?

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**Answer:** T=373.25 KT = 373.25 \text{ K} **Step-by-Step Explanation:** Triple point of water: Ttp=273.16T_{tp} = 273.16 K, Ptp=1.500×104P_{tp} = 1.500 \times 10^4 Pa. At normal boiling point, P=2.050×104P = 2.050 \times 10^4 Pa. Using T=Ttp×P/PtpT = T_{tp} \times P/P_{tp}:
T=273.16×2.050×1041.500×104=273.16×1.3667=373.25 KT = 273.16 \times \frac{2.050 \times 10^4}{1.500 \times 10^4} = 273.16 \times 1.3667 = 373.25 \text{ K}

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