A constant-volume thermometer registers a pressure of 1.500 × 104 Pa at the triple point of water and a pressure of 2.050 × 104 Pa at the normal boiling point. What is the temperature at the normal boiling point?

Given:Pressure registered by a constant-volume thermometer at the triple point, Ptr = 1.500 × 104 PaPressure registered by the thermometer at the normal boiling point, P = 2.050 × 104 PaWe know that for a constant-volume gas thermometer, temperature (T) at the normal boiling point is given as: T`=P/P_(tr) × 273.16 K` `=> T = (2.050 × 10^4)/1.500 × 10 ^ 4 × 273.16 K` ⇒ T = 373.31 K Therefore, the temperature at the normal point (T) is 373.31 K.

A Constant-volume Thermometer Registers a Pressure of 1.500 × 104 Pa at the Triple Point of Water and a Pressure - Physics

Answer in Brief

A constant-volume thermometer registers a pressure of 1.500 × 10⁴ Pa at the triple point of water and a pressure of 2.050 × 10⁴Pa at the normal boiling point. What is the temperature at the normal boiling point?

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Solution

Given:
Pressure registered by a constant-volume thermometer at the triple point, P_tr = 1.500 × 10⁴ Pa
Pressure registered by the thermometer at the normal boiling point, P = 2.050 × 10⁴ Pa
We know that for a constant-volume gas thermometer, temperature (T) at the normal boiling point is given as:

T`=P/P_(tr) × 273.16 K`

`=> T = (2.050 × 10^4)/1.500 × 10 ^ 4 × 273.16 K`

⇒ T = 373.31 K

Therefore, the temperature at the normal point (T) is 373.31 K.

Concept: Measurement of Temperature

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Chapter 1: Heat and Temperature [Page 12]

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