On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39° W and 239° W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39° C on the Celsius scale?

Question

Dr. Abubacker · Accepted Answer

[Solution from source] For a linear scale, (W − 39)/(239 − 39) = (C − 0)/(100 − 0). With C = 39: W = 39 + 200 × 0.39 = 39 + 78 = 117° W. 78° W forgets to add the offset of the freezing point. Answer (3).

Q. On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39° W and 239° W respectively. What will be the temperature on the new scale, corresponding to a temperature of 39° C on the Celsius scale?

Explanation

Reviewed by Dr. Abubacker

Want to attempt the full paper?