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Chapter 18: Temperature, Heat, and the First Law of Thermodynamics

Q19P

Page 541

A vertical glass tube of length L=1.280000鈥尘is half filled with a liquid at20.000000C. How much will the height of the liquid column change when the tube and liquid are heated to30.000000C? Use coefficientsglass=1.000000105Kandliquid=4.000000105/K.

Q1P

Page 541

Question: Suppose the temperature of a gas iswhen it is at the boiling point of water. What then is the limiting value of the ratio of the pressure of the gas at that boiling point to its pressure at the triple point of water? (Assume the volume of the gas is the same at both temperatures).

Q1Q

Page 540

The initial length L, change in temperature T, and change in length Lof four rods are given in the following table. Rank the rods according to their coefficients of thermal expansion, greatest first.

Rod L (m) T(C) L(m)
abcd 2124 1020105 410-4410-4810-4410-4

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Page 541

In a certain experiment, a small radioactive source must move at selected, extremely slow speeds. This motion is accomplished by fastening the source to one end of an aluminum rod and heating the central section of the rod in a controlled way. If the effective heated section of the rod in Figure has length d=2.00鈥塩尘, at what constant rate must the temperature of the rod be changed if the source is to move at a constant speed of 100鈥塶尘/蝉?

Q21P

Page 541

As a result of a temperature rise of 320C, a bar with a crack at its center buckles upward (Figure). If the fixed distance L0鈥夆赌is鈥夆赌3.77m and the coefficient of linear expansion of the bar is 25106/0C, find the rise x of the center.

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Page 541

One way to keep the contents of a garage from becoming too cold on a night when a severe subfreezing temperature is forecast is to put a tub of water in the garage. If the mass of the water is 125kgand its initial temperature is20C, (a) how much energy must the water transfer to its surroundings in order to freeze completely and (b) what is the lowest possible temperature of the water and its surroundings until that happens?

Q23P

Page 541

A small electric immersion heater is used to heat 100gof water for a cup of instant coffee. The heater is labeled 鈥200watts鈥 (it converts electrical energy to thermal energy at this rate). Calculate the time required to bring all this water from23.0Cto100C, ignoring any heat losses.

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Page 541

A certain substance has a mass per mole of 50.0 g/mol. When 314 J is added as heat to a 30.0 g sample, the sample鈥檚 temperature rises from 25.0掳C to 45.0掳C. (a) What is the specific heat and (b) What is the molar specific heat of this substance? (c) How many moles are in the sample?

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Page 541

A certain diet doctor encourages people to diet by drinking ice water. His theory is that the body must burn off enough fat to raise the temperature of the water from 0.00Cto the body temperature of37.0C. How many liters of ice water would have to be consumed to burn off(about 1 lb) of fat, assuming that burning this much fat requires3500calbe transferred to the ice water? Why is it not advisable to follow this diet? (Oneliter=103cm3. The density of water is1.00鈥塯/肠尘3.)

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Page 542

What mass of butter, which has a usable energy content of6.0Cal/g(=6000cal/g),would be equivalent to the change in gravitational potential energy of a73.0kgman who ascends from sea level to the top of Mt. Everest, at elevation8.84km? Assume that the average g for the ascent is9.80m/s2.

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