A mercury-in-glass thermometer reads - 20o at the ice point and 100o at the steam point. Calculate the celcius temperature corresponding to 70o on the therm...

A mercury-in-glass thermometer reads - 20^o at the ice point and 100^o at the steam point. Calculate the celcius temperature corresponding to 70^o on the thermometer.

Answer Details

The range of the thermometer is 100 - (-20) = 120^oC. This range corresponds to a temperature range of 100^oC - 0^oC = 100^oC on the Celsius scale. To find the temperature corresponding to 70^o on the thermometer, we need to first determine the fraction of the range that corresponds to this temperature. 70^o is 70 - (-20) = 90 units above the lower end of the range (-20). So the fraction of the range that corresponds to 70^o is 90/120 = 0.75. Therefore, the temperature on the Celsius scale corresponding to 70^o on the thermometer is 0.75 × 100^oC = 75^oC. Hence, the answer is 75.0^oC.