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
3.7
(377 Votes)
Ella
Professional · Tutor for 6 years
Answer
To find the reading in
for a temperature of
, we need to establish a relationship between the Celsius scale and the unknown scale X.The ice-point (0°C) corresponds to
and the steam-point (100°C) corresponds to
.First, determine the conversion formula between the two scales. The range on the Celsius scale from ice-point to steam-point is 100°C (100°C - 0°C). On the X scale, this range is
.The conversion factor between the scales is:
Now, convert
to the X scale:
Therefore, the reading in
for a temperature of
is
.