Activity: If the ice-point and the steam-point temperatures on an unknown scale X are 50^0X and 200^circ X , respectively, then what is the reading in {}^0X for a temperature of 60^circ C

Question

Activity: If the ice-point and the steam-point temperatures on an unknown scale X are 50^0X and 200^circ X , respectively, then what is the reading in {}^0X for a temperature of 60^circ C

Answer 1

To convert a temperature from Celsius to the unknown scale X, we need to establish the relationship between the two scales. We know the following points:- Ice point:

- Steam point:

We can use these points to create a linear equation that relates the Celsius temperature (C) to the unknown scale (X).First, let's determine the conversion formula. The general form of the linear equation is:

Using the given points:1. When

,

:

2. When

,

:

So, the conversion formula is:

Now, we can find the reading in

for a temperature of

:

Therefore, the reading in

for a temperature of

is

.

Question

Activity: If the ice-point and the steam-point temperatures on an unknown scale X are 50^0X and 200^circ X , respectively, then what is the reading in {}^0X for a temperature of 60^circ C

Solution

Answer