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Chapter 14: Q2MCQ (page 390)

Both beakers A and B in Fig. 14鈥�15 contain a mixture of ice and water at equilibrium. Which beaker is the coldest, or are they equal in temperature?

(a) Beaker A.

(b) Beaker B.

(c) Equal.

FIGURE 14-15 MisConceptual Question 2.

Short Answer

Expert verified

(c) Equal

Step by step solution

01

Understanding the thermal equilibrium of two bodies

Heat starts flowing from a body with higher temperature to a body with lower temperature. The temperatures of both bodies will balance each other. Due to this, the heat will stop flowing. The bodies are then said to be in thermal equilibrium.

02

Explanation for the coldest beaker between A and B

When the ice cubes are placed in the water, they will balance their temperatures at the melting or freezing point. The point at which they are in thermal equilibrium, that temperature point is known as the thermal equilibrium temperature of both the ice cube and the water.

At this thermal equilibrium temperature, the temperatures of both the ice cube and water are equal.

It does not matter how much quantity of ice cubes is added to the beakers. Beaker A and beaker B will remain at the same equilibrium temperature. The temperatures of beakers A and B are equal.

Thus, both beakers have an equal temperature.

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Most popular questions from this chapter

A leaf of area \({\bf{40}}\;{\bf{c}}{{\bf{m}}^{\bf{2}}}\) and mass \({\bf{4}}{\bf{.5 \times 1}}{{\bf{0}}^{{\bf{ - 4}}}}\;{\bf{kg}}\) directly faces the Sun on a clear day. The leaf has an emissivity of 0.85 and a specific heat of \({\bf{0}}{\bf{.80}}\;{\bf{kcal/kg}} \cdot {\bf{K}}\) (a) Estimate the energy absorbed per second by the leaf from the Sun, and then (b) estimate the rate of rise of the leaf鈥檚 temperature. (c) Will the temperature rise continue for hours? Why or why not? (d) Calculate the temperature the leaf would reach if it lost all its heat by radiation to the surroundings at 24掳C. (e) In what other ways can the heat be dissipated by the leaf?

The Earth cools off at night much more quickly when the weather is clear than when cloudy. Why?

(II) How long does it take the Sun to melt a block of ice at 0掳C with a flat horizontal area \({\bf{1}}{\bf{.0}}\;{{\bf{m}}^{\bf{2}}}\) and thickness 1.0 cm? Assume that the Sun鈥檚 rays make an angle of 35掳 with the vertical and that the emissivity of ice is 0.050

(a) Estimate the total power radiated into space by the Sun, assuming it to be a perfect emitter at \(T = 5500\;{\rm{K}}\). The Sun鈥檚 radius is \({\bf{7 \times 1}}{{\bf{0}}{\bf{8}}}\;{\bf{m}}\). (b) From this, determine the power per unit area arriving at the Earth, away \({\bf{1}}{\bf{.5 \times 1}}{{\bf{0}}{{\bf{11}}}}\;{\bf{m}}\) (Fig. 14鈥�20).

FIGURE 14-20

Problem 47.

Very high in the Earth鈥檚 atmosphere, the temperature can be 700掳C. Yet an animal there would freeze to death rather than roast. Explain.
See all solutions

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