Pls help me with this, The resistance of a platinum resistance thermometer is 30 ohms at the ice point, 40 ohms at the steam point and 34.5 ohms on a certain hot day, what is the temperature of the day on celcius temperature day?
Temperature is a linear function of absolute temperature
Resistance=Ro(1+constant*To)
40=30(1+constant(10))
solve for constant,
then
R=30(1+constant*deltaT)
solve for deltaT, add that to 30C
To find the temperature on a certain day using the resistance values of a platinum resistance thermometer, you need to use the concept of temperature-resistance relationship. In this case, we can use the Callendar-Van Dusen equation:
Rt = R0 * (1 + A * t + B * t^2)
Where:
- Rt is the resistance at temperature t
- R0 is the resistance at the ice point
- A, B are the coefficients specific to the type of platinum resistance thermometer
We can rearrange the equation to solve for temperature:
t = (Rt/R0 - 1) / (A + B * (Rt/R0))
Now let's plug in the values:
R0 = 30 ohms (resistance at the ice point)
Rt = 34.5 ohms (resistance on the certain hot day)
First, we need to determine the values of A and B specific to the platinum resistance thermometer being used. Different thermometers have different sets of coefficients. You can refer to the documentation or datasheet of the thermometer to obtain these values.
Once you have the values of A and B, you can substitute them into the equation along with the resistance values:
t = (34.5/30 - 1) / (A + B * (34.5/30))
This will give you the temperature in Celsius on the certain hot day based on the resistance measurements.