In a constant volume gas thermometer, the gas pressures are measured to be 80 cm , 90 cm , and 100 cm of mercury at the ice point, the steam point, and within a heated wax bath, respectively. Determine the temperature of the wax bath.

Step-by-step solution

For a constant volume gas thermometer, the temperature t is given by the relation: t = P_t - P₀ P₁₀₀ - P₀ 100^ C Given values are: Pressure at ice point, P₀ = 80 cm of Hg Pressure at steam point, P₁₀₀ = 90 cm of Hg Pressure at temperature t , P_t = 100 cm of Hg Substituting the values into the formula: t = 100 - 80 90 - 80 100^ C t = 20 10 100^ C t = 200^ C