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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Heat and Temperature

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Heat and Temperature

At the triple point of water, a constant volume gas thermometer...

At the triple point of water, a constant volume gas thermometer measures a pressure of 40 kPa40 \text{ kPa}. Determine the pressure measured at the boiling point of water (100^{}^{{}^{\circ}} \text{C}).

Options

  1. A54.6 kPa54.6 \text{ kPa}
  2. B29.3 kPa29.3 \text{ kPa}
  3. C45.4 kPa45.4 \text{ kPa}
  4. D68.2 kPa68.2 \text{ kPa}

Correct answer

A. 54.6 kPa54.6 \text{ kPa}

Step-by-step solution

For a constant volume gas thermometer, the temperature TT is directly proportional to the pressure PP.

T=PPtr×273.16T = \dfrac{P}{P_{tr}} \times 273.16

Given that the pressure at the triple point of water is Ptr=40 kPaP_{tr} = 40 \text{ kPa}.

The boiling point of water is 100^{}^{{}^{\circ}} \text{C}, which corresponds to T=373.15 KT = 373.15 \text{ K}.

Substituting the values into the equation:

373.15=P40×273.16373.15 = \dfrac{P}{40} \times 273.16

P=373.15×40273.16P = \dfrac{373.15 \times 40}{273.16}

P≈54.6 kPaP \approx 54.6 \text{ kPa}
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