The ice and steam points on a mercury in glass thermometer are found to be 90mm apart. What temperature is recorded in degree Celsius when the length of the...

The ice and steam points on a mercury in glass thermometer are found to be 90mm apart. What temperature is recorded in degree Celsius when the length of the mercury thread is 33.6mm above the ice point mark?

Answer Details

We are given that the ice and steam points on the thermometer are 90mm apart. This means that the thermometer has been calibrated to give readings between the ice point (0°C) and the steam point (100°C) when it is used. The length of the mercury thread above the ice point mark is given to be 33.6mm. We can find the corresponding temperature using proportionality. Let x be the temperature in °C corresponding to the length of the mercury thread above the ice point mark. Then, we have: 90 mm = 100°C - 0°C 33.6 mm = x°C - 0°C Using proportionality, we can write: (33.6 mm) / (90 mm) = (x°C - 0°C) / (100°C - 0°C) Simplifying, we get: x/100 = 0.373 x = 37.3°C Therefore, the temperature recorded in °C when the length of the mercury thread is 33.6mm above the ice point mark is 37.3°C. So, the correct option is (c) 37.3°C.