Question

The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. The temperature of the liquid is ______.

(Given 0°C = 273 K)

Options

• 300 K

• 400 K

• 600 K

• 491 K

Answer 1

The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes 180 cm of mercury. The temperature of the liquid is 491 K.

Explanation:

At constant volume,

P ∝ T

So, `T_2 = T_1 xx P_2/P_1 = 273 xx 180/100 = 273 xx 9/5` ≈ 491 K