The drawing shows two thermometers, A and B, whose
temperatures are measured in °A and °B. The ice and boiling
points of water are also indicated.
(a) Using the data in the drawing, determine the number of B
degrees on the B scale that correspond to 1 A° on the A scale.
(b) If the temperature of a substance reads +40.0°A on the A
scale, what would that temperature read on the B scale?
(Cutnell 354)

a) 1 A° corresponds to 1.22 B°

b)

Explanation:

a)

The image of the problem is missing: find it in attachment.

Here we have two temperature scales:

- In scale A, the freezing point is at , while the boiling point is at a temperature of

- In scale B, the freezing point is at , while the boiling point is at a temperature of

The freezing point and the boiling point must be at the same absolute temperature on the two scales: this means that the interval

(boiling point - freezing point)

must be the same in the two scales.

For scale A, this interval is equal to:

For scale B, this interval is equal to:

Therefore, 1 degree on the A scale corresponds to:

So, 1 A° corresponds to 1.22 B°.

b)

The temperature of the substance on the A scale is

This means that the difference of its temperature relative to the freezing point on the A scale is

In part A, we stated that 1 degree on the A scale corresponds to 1.22 degrees on the B scale, so this temperature interval on the B scale is

And therefore, the temperature of the substance on the B-scale is equal to the freezing point (on the B scale) plus this interval:

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.

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