the resistance of a platinum resistant thermometer is 1.2ohms. when the measuring in Kelvin temperature of oil and 1.0ohms at the triple point of water. find T

This makes no sense to me. What are you looking for?

To find the temperature (T) corresponding to a resistance of 1.2 ohms in a platinum resistance thermometer, we need to use the resistance-temperature relationship for the platinum resistance thermometer.

The resistance-temperature relationship for a platinum resistance thermometer is typically described using the Callendar-Van Dusen equation:

R = R0 * (1 + A * T + B * T^2)

Where:
R is the resistance at temperature T,
R0 is the resistance at the reference temperature (usually the triple point of water),
A, B are coefficients specific to the platinum resistor.

Given:
Resistance at the triple point of water (R0) = 1.0 ohm.
Resistance at the measurement temperature (R) = 1.2 ohms.

We can rewrite the equation as:

R/R0 = (1 + A * T + B * T^2) ...Eq. 1

Now, let's rearrange and solve for T:

R/R0 - 1 = A * T + B * T^2

Since the coefficients A and B are constants specific to the platinum resistance thermometer used, we don't have their exact values. Therefore, we need additional information to solve for T.

If you provide the values of A and B, I can help you calculate the temperature (T).