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Chapter 13: Q3Q (page 359)

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

Short Answer

Expert verified

1 C° is larger than 1 F°.

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

A Pyrex measuring cup was calibrated at normal room temperature. How much error will be made in a recipe calling for 375 mL of cool water, if the water and the cup are hot, at 95°C, instead of at room temperature? Neglect the glass expansion.

Question 15: Will the buoyant force on an aluminum sphere submerged in water increase, decrease, or remain the same, if the temperature is increased from 20°C to 40°C? Explain.

The escape speed from the Earth is \({\bf{1}}{\bf{.12 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{m/s}}\),that is, a gas molecule traveling away from Earth near the outer boundary of the Earth’s atmosphere would, at this speed, be able to escape from the Earth’s gravitational field and be lost in the atmosphere. At what temperature is the RMS speed of (a) oxygen molecules and (b) helium atoms equal to \({\bf{1}}{\bf{.12 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{m/s}}\)? (c) Can you explain why our atmosphere contains oxygen but not helium?

Question:(II) A certain car has 14.0 L of liquid coolant circulating at a temperature of 93°C through the engine’s cooling system. Assume that, in this normal condition, the coolant completely fills the 3.5-L volume of the aluminum radiator and the 10.5-L internal cavities within the aluminum engine. When a car overheats, the radiator, engine, and coolant expand and a small reservoir connected to the radiator catches any resultant coolant overflow. Estimate how much coolant overflows to the reservoir if the system goes from 93°C to 105°C. Model the radiator and engine as hollow shells of aluminum. The coefficient of volume expansion for coolant is\({\bf{410}} \times {\bf{1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{/^\circ C}}\).

Question: (I)A gas is at 20°C. To what temperature must it be raised to triple the rms speed of its molecules?
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