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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

In a constant volume gas thermometer, the pressure of the gas is 70...

In a constant volume gas thermometer, the pressure of the gas is 70 kPa70 \text{ kPa} at the ice point. Determine the pressure at the steam point.

Options

  1. A170 kPa170 \text{ kPa}
  2. B100 kPa100 \text{ kPa}
  3. C51 kPa51 \text{ kPa}
  4. D96 kPa96 \text{ kPa}

Correct answer

D. 96 kPa96 \text{ kPa}

Step-by-step solution

For a constant volume gas thermometer, the pressure of the gas is directly proportional to its absolute temperature.

P1T1=P2T2\dfrac{P_1}{T_1} = \dfrac{P_2}{T_2}

Given:
Pressure at ice point, P1=70 kPaP_1 = 70 \text{ kPa}
Absolute temperature at ice point, T1=273.15 KT_1 = 273.15 \text{ K}
Absolute temperature at steam point, T2=373.15 KT_2 = 373.15 \text{ K}

Substituting the values:

P2=70×373.15273.15P_2 = 70 \times \dfrac{373.15}{273.15}

P2≈70×1.366P_2 \approx 70 \times 1.366

P2≈95.62 kPaP_2 \approx 95.62 \text{ kPa}

Rounding to the nearest integer, the pressure at the steam point is 96 kPa96 \text{ kPa}.
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