The lower and super fixed point of a certain thermometer are 30cm apart.
At a certain clay the length of the mercury tread in the thermostat is 9cm above ice point 0ºC what is the temperature recorded by the thermometer in
A. Celsius scale,
B.kelum scale?
Are the fixed points ice point, and water bp points?
To determine the temperature recorded by the thermometer, we need to use the information given about the lower and upper fixed points.
The lower fixed point is the temperature at which the mercury thread in the thermometer is at its lowest position. In this case, we are told that the distance between the lower and upper fixed points is 30cm.
The upper fixed point is the temperature at which the mercury thread in the thermometer is at its highest position.
Given that the length of the mercury thread in the thermostat is 9cm above the ice point (0ºC), we can calculate the length of the mercury thread from the lower fixed point to the ice point.
Let's denote the length of the mercury thread from the lower fixed point to the ice point as x cm.
We have the following information:
Length of the mercury thread from the lower fixed point to the upper fixed point = 30 cm
Length of the mercury thread from the lower fixed point to the ice point = x cm
Length of the mercury thread from the ice point to the upper fixed point = 30 cm - x cm
Since we know that the length of the mercury thread above the ice point is 9 cm, we can set up the following equation:
Length of the mercury thread from the ice point to the upper fixed point = 30 cm - x cm = 9 cm
Simplifying the equation, we have:
30 - x = 9
Now, we can solve for x:
x = 30 - 9
x = 21 cm
Therefore, the length of the mercury thread from the lower fixed point to the ice point is 21 cm.
Now, let's calculate the temperature recorded by the thermometer on the Celsius scale.
The total length of the mercury thread (30 cm) corresponds to the temperature range of the thermometer. So, if the length from the lower fixed point to the ice point (21 cm) corresponds to 21 degrees Celsius, we can calculate the temperature recorded by the thermometer.
Using a proportion, we have:
(Length from the lower fixed point to the ice point) / (Total length of the mercury thread) = (Temperature recorded on the Celsius scale) / (Temperature range of the thermometer)
21 cm / 30 cm = (Temperature recorded on the Celsius scale) / (Temperature range of the thermometer)
Cross-multiplying, we get:
21 cm * (Temperature range of the thermometer) = 30 cm * (Temperature recorded on the Celsius scale)
Now, we substitute the given values:
21 * (Temperature range of the thermometer) = 30 * (Temperature recorded on the Celsius scale)
Given that the temperature range of the thermometer is 100 degrees Celsius (since 100 degrees Celsius is the difference between the upper and lower fixed points on the Celsius scale), we can solve for the temperature recorded on the Celsius scale:
21 * 100 = 30 * (Temperature recorded on the Celsius scale)
2100 = 30 * (Temperature recorded on the Celsius scale)
Dividing both sides by 30:
70 = Temperature recorded on the Celsius scale
Therefore, the temperature recorded by the thermometer on the Celsius scale is 70ºC.
To convert this temperature to the Kelvin scale, we simply add 273.15 to it, since 0ºC is equivalent to 273.15K.
Thus, the temperature recorded by the thermometer on the Kelvin scale is:
70 + 273.15 = 343.15K
So, the temperature recorded on the Kelvin scale is 343.15K.