A 40 Celsius the thermometer leads to 0.7 degree Celsius at the melting point or pure ice and 98.5 degree Celsius at the boiling point of water at abnormal pressure what is the correct temperature when it leads 30 degree Celsius (b) At what temperature is leading be exactly correct

Show the working

you have two points: (0,0.7) and (100,98.5)

The line through them has the equation
y = 0.978x + 0.7

(b) 0.978x + 0.7 = x
when x = 31.8

ыЖГю

To determine the correct temperature when the thermometer reads 30 degrees Celsius, we can use the concept of linear interpolation.

First, let's calculate the temperature difference per degree Celsius based on the given data:

At the melting point of pure ice(0 degrees Celsius), the thermometer reads 0.7 degrees Celsius.
At the boiling point of water (abnormal pressure, let's assume it's 100 degrees Celsius), the thermometer reads 98.5 degrees Celsius.

Temperature Difference = (98.5 - 0.7) / (100 - 0)
Temperature Difference = 97.8 / 100
Temperature Difference = 0.978 degrees Celsius per degree Celsius

Now that we know the temperature difference per degree Celsius, we can calculate the correct temperature when the thermometer reads 30 degrees Celsius:

Correct Temperature = (30 - 0.7) / (0.978)
Correct Temperature = 29.3 / 0.978
Correct Temperature ≈ 29.96 degrees Celsius

Therefore, the correct temperature when the thermometer reads 30 degrees Celsius is approximately 29.96 degrees Celsius.

Now let's determine at what exact temperature the thermometer reading will be correct:

We can reverse the interpolation equation to find the temperature when the thermometer reading is 0 degrees Celsius:

0 = (Temperature - 0.7) / (0.978)
0.978 * 0 = Temperature - 0.7
Temperature = 0.7 degrees Celsius

So, at 0.7 degrees Celsius, the thermometer reading will be exactly correct.

Yes