A faulty Celsius thermometer read 0.7degrees Celsius at melting point of pure ice and 99.5degrees Celsius at boiling point of water at normal pressure.

What is the correct temperature when it reads 30 degrees Celsius

Ce is temp read

error = e = Ce - C
I assume error = e = m C + b
then
.7 = m(0) + b so b = .7
99.5 - 100 = -.5 = m(100) +.7

100 m = -1.2
m = -.012

at Ce = 30
e = 30 - C = -.012 C + .7
C-.012 C = 29.3
.988 C= 29.3
C = 29.7

To determine the correct temperature when the faulty Celsius thermometer reads 30 degrees Celsius, we need to find the temperature difference between the two reference points (the melting point and boiling point of water).

First, we calculate the temperature difference between the two reference points:
Temperature difference = Boiling point of water - Melting point of ice
Temperature difference = 99.5 degrees Celsius - 0.7 degrees Celsius
Temperature difference = 98.8 degrees Celsius

Next, we find the proportion of the temperature difference corresponding to the 30 degrees Celsius reading on the faulty thermometer:
Proportion = (30 degrees Celsius - Melting point of ice reading) / Temperature difference

Substituting the values:
Proportion = (30 degrees Celsius - 0.7 degrees Celsius) / 98.8 degrees Celsius

Calculating the proportion:
Proportion = 29.3 degrees Celsius / 98.8 degrees Celsius
Proportion ≈ 0.2967

Finally, we multiply the proportion by the temperature difference and add it to the melting point of ice reading to get the correct temperature:
Correct temperature = Melting point of ice reading + (Proportion × Temperature difference)
Correct temperature = 0.7 degrees Celsius + (0.2967 × 98.8 degrees Celsius)
Correct temperature ≈ 0.7 degrees Celsius + 29.3 degrees Celsius
Correct temperature ≈ 30 degrees Celsius

Therefore, when the faulty Celsius thermometer reads 30 degrees Celsius, the correct temperature is approximately 30 degrees Celsius.

To find the correct temperature when the faulty Celsius thermometer reads 30 degrees Celsius, we need to determine the error in the thermometer readings.

We know that at the melting point of pure ice, the faulty thermometer reads 0.7 degrees Celsius. The correct temperature at this point is 0 degrees Celsius. Therefore, the error is 0 - 0.7 = -0.7 degrees Celsius.

Likewise, at the boiling point of water at normal pressure, the faulty thermometer reads 99.5 degrees Celsius. The correct temperature at this point is 100 degrees Celsius. Therefore, the error is 100 - 99.5 = 0.5 degrees Celsius.

Now, we can calculate the error per degree: error per degree = (0.5 - (-0.7)) / (100 - 0) = 1.2 / 100 = 0.012 degrees Celsius per degree.

To find the correct temperature when the thermometer reads 30 degrees Celsius, we need to add the error to the reading. The correct temperature is therefore 30 + (0.012 * 30) = 30.36 degrees Celsius.

So, the correct temperature when the faulty thermometer reads 30 degrees Celsius is approximately 30.36 degrees Celsius.