Question

A gas thermometer measures the temperature from the variation of pressure of a sample of gas. If the pressure measured at the melting point of lead is 2.20 times the pressure measured at the triple point of water, find the melting point of lead.

Answer 1

The melting point of lead is $T \approx 601 K$

Explanation:  

Step 1:

Given,  

Pressure measured at melting point of lead = 2.2 × Pressure measured at triple point of water

Temperature at triple point of the water =273.16 K

Step 2:

By using the formula  

$\mathrm{T}=\frac{P}{P_{t}} \times 273.16$

$\mathrm{T}=\frac{\text { Pressure at given temperature }}{\text { pressure at triple point }} \times 273.16$

$\mathrm{T}=\frac{2.2 P_{\mathrm{t}}}{P_{t}} \times 273.16$

Step 3:

By substituting the values of given quantities in above equation we get           $T=600.952 \mathrm{K}$

(Approximate value is)  

$\mathrm{T} \approx 601 \mathrm{K}$