Question

The pressures of a gas in the bulb of constant volume gas thermometer at 0${}^0$ C are 54.6 cm and 74.6cm of Hg respectively. The pressure at 50${}^0$ C is:

• A. 64.6cm of Hg
• B. 60.6cm of Hg
• C. 58.6cm of Hg
• D. 52.6cm of Hg

Answer 1

The correct option is A 64.6cm of Hg

For a constant volume thermometer,

$P\propto T$ , the slope is given by

$\beta =\frac{P_{100}-P_0}{100-0}$

$\beta =\frac{74.6-54.6}{100}$

$\beta$=0.2.

Now Applying equation for straight line,

$P_{50}=T\beta +P_0$

$P_{50}=50\times 0.2+54.6$

$P_{50}=64.6$cm of Hg