Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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The Pressure Measured by a Constant Volume Gas Thermometer is 40 Kpa at the Triple Point of Water. - Physics

Answer in Brief

The pressure measured by a constant volume gas thermometer is 40 kPa at the triple point of water. What will be the pressure measured at the boiling point of water (100°C)?

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Solution

Given:
Pressure measured by a constant volume gas thermometer at the triple point of water, Ptr = 40 kPa = 40 × 103 Pa
Boiling point of water, T = 100°C = 373.16 K
Let the pressure measured at the boiling point of water be P.
​For a constant volume gas thermometer, temperature-pressure relation is given below:

\[T = \frac{P}{P_{tr}} \times 273 . 16 K\]

\[ \Rightarrow P = \frac{T \times P_{tr}}{273 . 16}\]

\[ \Rightarrow P = \frac{373 . 16 \times 40 \times {10}^3}{273 . 16}\]

\[ \Rightarrow P = 54643 Pa\]

\[ \Rightarrow P = 54 . 6 \times {10}^3 Pa \]

\[ \Rightarrow P \simeq 55 \ kPa\]

Therefore, the pressure measured at the boiling point of water is 55 kPa.

Concept: Measurement of Temperature
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APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 1 Heat and Temperature
Q 4 | Page 12
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