Question

A thermometer with an arbitrary scale, S, of equal divisions registers -30°S at the ice point and the steam point. Calculate the celsius temperature corresponding to 60°S​

Answer 1

Step-by-step explanation:

Let's start by finding the relationship between the two scales:

On the Celsius scale, the ice point is 0°C and the steam point is 100°C, a range of 100 degrees.

On the arbitrary scale, the ice point and steam point are both at -30°S, a range of 60 degrees (from -30°S to +30°S).

Therefore, we can say that each degree on the arbitrary scale is equal to 100/60 = 5/3 degrees Celsius:

1 degree S = (100/60) degrees C = 5/3 degrees C

To find the Celsius temperature corresponding to 60°S, we can use the following equation:

60°S × (5/3 degrees C/1 degree S) = 100°C

Therefore, 60°S on the arbitrary scale is equivalent to 100°C on the Celsius scale.