Question

If ice point and the steam point temperature on an unknown scale x are 50x° and 200x°, respectively, then what is the reading in x° for temperature of 60°C?

Answer 1

wrong. The difference between the ice point and steam point on the unknown scale is 150°
so the conversion from °C to °x is
x = 3/2 C + 50

Answer 2

To find the reading in x° for a temperature of 60°C, we first need to determine the scale factor between Celsius and the unknown scale x.

The difference between the ice point and steam point on the unknown scale is the same as the difference between 0°C and 100°C on the Celsius scale, which is 100°C.

Given that the ice point on the unknown scale is 50x°, we can set up a proportion:

100°C / 60°C = 100x / T

where T is the temperature in x°.

Solving for T:

T = (100x * 60) / 100

T = 60x

Therefore, the temperature of 60°C on the unknown scale is 60x°.

Answer 3

Apologies for the mistake. Let me correct the conversion:

Given that the ice point on the unknown scale is 50x° and the steam point is 200x°, the difference between them is 200x - 50x = 150x.

To convert from Celsius to the unknown scale x, we can set up the conversion formula as follows:

x = (3/2)C + 50

Plugging in the temperature of 60°C:

x = (3/2) * 60 + 50
x = 90 + 50
x = 140

Therefore, the reading in x° for a temperature of 60°C is 140°x.