A resistance thermometer has a resistance of 20~at 0° c and 85 ~ at 100° c it's resistance is 52 ~In a medium calculate the corresponding temperature

Answer 1

To calculate the corresponding temperature, we can use the formula for finding the resistance variation of a resistance thermometer:

R1 = R0 (1 + α (T1 - T0))

Where:
R1 = Resistance at a given temperature T1
R0 = Resistance at reference temperature T0
α = Temperature coefficient of resistance

Let's denote the resistance at reference temperature T0 as R0 = 20~ and the temperature as T0 = 0°C. We are given the resistance at another temperature T1 = 100°C as R1 = 85~.

We can rearrange the equation to solve for α:

α = (R1 - R0) / (R0 * (T1 - T0))

α = (85~ - 20~) / (20~ * (100°C - 0°C))
α ≈ 0.325

Now we can use the calculated α and the desired resistance R2 = 52~ to find the corresponding temperature T2:

T2 = ((R2 / R0) - 1) / α + T0

T2 = ((52~ / 20~) - 1) / 0.325 + 0°C
T2 ≈ 27.69°C

So, the corresponding temperature is approximately 27.69°C.