A Hg thermomtr is calibrated by immersing it in melting ice and thn in boiling H20.The column of the Hg is respctively 2.9cm &29cm.Find the temperature whn the column is 10cm long
To find the temperature when the column of the Hg thermometer is 10 cm long, we need to use the calibration data provided.
First, let's establish the relationship between the column length and temperature. We know that the column length is directly proportional to the temperature. This means that as the temperature increases, the column length increases as well.
Using the calibration points, we can set up a proportion to find the relationship between the column length and temperature. Let's call the temperature when the column is 2.9 cm long as T1, and the temperature when the column is 29 cm long as T2.
(T1 - freezing point of water) / (boiling point of water - freezing point of water) = (2.9 cm - 0 cm) / (29 cm - 0 cm)
This proportion relates the difference in temperature from the freezing point of water to the boiling point of water with the difference in column length from 0 cm to 29 cm.
Now, we can plug in the values and solve for T1:
(T1 - 0°C) / (100°C - 0°C) = (2.9 cm - 0 cm) / (29 cm - 0 cm)
(T1 - 0) / 100 = 2.9 / 29
(T1 - 0) / 100 = 0.1
T1 - 0 = 0.1 * 100
T1 = 10°C
So, when the column length is 10 cm, the temperature is 10°C.