A certain resistance thermometer at triple point of water is 152.0 ohms. What is the temperature of the system in degrees celsius when the resistance of the thermometer is 230.51ohms.
80.4
To determine the temperature in degrees Celsius when the resistance of the thermometer is 230.51 ohms, we need to use the resistance-temperature relationship for the resistance thermometer.
The resistance-temperature relationship of a resistance thermometer can be given by the equation:
R2 = R1 * (1 + α * (T2 - T1))
Where:
R1 = Resistance at temperature T1
R2 = Resistance at temperature T2
α = Temperature coefficient of resistance
Since we are given the resistance at the triple point of water (152.0 ohms) and the resistance at an unknown temperature (230.51 ohms), we can rewrite the equation as:
230.51 = 152.0 * (1 + α * (T2 - T1))
We can rearrange the equation to solve for the temperature T2:
(T2 - T1) = (230.51 / 152.0 - 1) / α
Now, the next step is to determine the temperature coefficient of resistance (α) for the specific resistance thermometer being used. The temperature coefficient of resistance is a value specific to the material used in the resistance thermometer, and it represents the change in resistance per degree Celsius of temperature change.
Once we have the α value, we can substitute it into the equation along with the known values to solve for the temperature T2.