In a constant volume gas thermometer, the pressure of the working gas is measured by the differenced in the levels of mercury in the two arms of a U-tube connected to the gas at one end. When the bulb is placed at the room temperature `27.0^0 C`, the mercury column in the arm open to atmosphere stands `5.00 cm` above the level of mercury in the other arm. When the bulb is placed in a hot liquid, the difference of mercury levels becomes `45..0 Cm`. Calculate the temperature of the liquid. (Atmospheric pressure `= 75.0cm` of mercury).

Answer

A, C

Explanation

At constant volume,
`p prop T`
`:. (p_2)/(p_1) = (T_2)/(T_1) or T_2 = ((p_2)/(p_1))T_1`
= `((45 + 75)/(5 + 75)) (273 +30)`
= `450 K = 450 - 273`
= `177^@ C`.