To determine the reading in °x for a temperature of 60°C, we need to understand the relationship between the Celsius and °x scales based on the given ice point and steam temperature values.
The ice point temperature is given as 50°x, and the steam temperature is given as 200°x. This implies that the interval between the ice point and steam temperature on the °x scale is 150°x (200°x - 50°x).
To find the reading in °x for a temperature of 60°C, we need to calculate the corresponding interval on the °x scale and add it to the ice point temperature.
Since the interval between the ice point and steam temperature is 150°x, we can calculate the ratio of the Celsius interval to the °x interval:
Celsius interval / °x interval = (200°C - 50°C) / 150°x
Now, substitute the Celsius values and solve for the °x interval:
(200°C - 50°C) / 150°x = 60°C / °x
150°C / 150°x = 60°C / °x
Cancel out the units:
1°C / °x = 60°C / 150°x
Simplifying further:
1 / °x = 2 / 5
Now, cross multiply and solve for °x:
5 = 2 * °x
Divide both sides by 2:
5 / 2 = °x
°x = 2.5
Therefore, the reading on the °x scale for a temperature of 60°C is 2.5°x.