Question

A thermometer is graduated in mm. It registers – 3mm when the bulb of thermometer is in pure melting ice and 22mm when the thermometer is in steam at a pressure of one atm. The temperature in ⁰C when the thermometer registers 13mm is

• A. $\frac{13}{25} \times 100$
• B. $\frac{16}{25} \times 100$
• C. $\frac{13}{22} \times 100$
• D. $\frac{16}{22} \times 100$

Answer 1

Answer: (B)

$\frac{16}{25} \times 100$

Answer 2

For a constant volume gas thermometer temperature in ⁰centigrade is given as

$T_{c} = \frac{P - P_{0}}{P_{100} - P_{0}} \times 100{^\circ}C$ ⇒ $T_{c} = \frac{13 - ( - 3)}{22 - ( - 3)} \times 100{^\circ}C = \frac{16}{25} \times 100$