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Chapter 13: Q3Q (page 359)

Question: Which is larger, 1 C掳 or 1 F? Explain why.

Short Answer

Expert verified

1 C掳 is larger than 1 F掳.

Step by step solution

01

Understanding of temperature

The term "temperature" may be defined as the thermodynamical characteristic of a particular system, determining whether a body is cool or warm.

02

Relationship between the 1 C° and 1 F°

One hundred divisions on the centigrade scale are equal to the 180 divisions on the Fahrenheit scale. Therefore, the relationship between the centigrade and Fahrenheit can be written as follows:

\(\begin{array}{c}1{\rm{^\circ C}} = \frac{{180}}{{100}}\;{\rm{^\circ F}}\\1{\rm{^\circ C}} = \frac{9}{5}{\rm{^\circ F}}\\{\rm{1^\circ C}} = 1.8{\rm{^\circ F}}\end{array}\)

From the above relation, it is clear that the centigrade scale is larger than the Fahrenheit scale.

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Most popular questions from this chapter

Question 37:(III) An air bubble at the bottom of a lake 41.0 m deep has a volume of\({\bf{1}}{\bf{.00}}\;{\bf{c}}{{\bf{m}}^{\bf{3}}}\). If the temperature at the bottom is 5.5掳C and at the top 18.5掳C, what is the radius of the bubble just before it reaches the surface?

A concrete building is built of slabs 12 m long\({\rm{(15^\circ C)}}\). How wide should the expansion cracks between the slabs the at \({\rm{(15^\circ C)}}\) to prevent buckling if the range of temperature is \( - 30{\rm{^\circ C}}\)to \(50^\circ {\rm{C}}\)

(II) A sealed metal container contains a gas at 20.0掳C and 1.00 atm. To what temperature must the gas be heated for the pressure to double to 2.00 atm? (Ignore the expansion of the container.)

(I) Super Invar鈩�, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion \(\alpha = 0.20 \times 1{0^{ - 6}}\;/^\circ C\). A 1.8-m-long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. How much will this alloy table expand along its length if the temperature increases 6.0 C掳? Compare to tabletops made of steel.

Question: (II)Show that the rms speed of molecules in a gas is given by\({{\bf{v}}_{{\bf{rms}}}}{\bf{ = }}\sqrt {{\bf{3P/\rho }}} \)where P is the pressure in the gas and\({\bf{\rho }}\)is the gas density.
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