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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

A gas thermometer determines temperature from the variation of...

A gas thermometer determines temperature from the variation of pressure of a gas sample. If the pressure recorded at the melting point of lead is 2.202.20 times the pressure recorded at the triple point of water, determine the melting point of lead.

Options

  1. A220 K220\text{ K}
  2. B124 K124\text{ K}
  3. C821 K821\text{ K}
  4. D601 K601\text{ K}

Correct answer

D. 601 K601\text{ K}

Step-by-step solution

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

T=Ttr×PPtrT = T_{tr} \times \dfrac{P}{P_{tr}}

Given that the pressure at the melting point of lead is P=2.20PtrP = 2.20 P_{tr} and the temperature of the triple point of water is Ttr=273.16 KT_{tr} = 273.16\text{ K}.

Substituting the values:

T=273.16×2.20PtrPtrT = 273.16 \times \dfrac{2.20 P_{tr}}{P_{tr}}

T=273.16×2.20=600.952 KT = 273.16 \times 2.20 = 600.952\text{ K}

Rounding off to the nearest integer, the melting point of lead is 601 K601\text{ K}.
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