College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 11, Problem 15CQ
To determine
The change in temperature of the coffee, when an insulated bottle containing coffee was shook for a few minutes.
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Suppose that the temperature at a point x, y, z in space is given by T(x,y,z)=80/1+x2+2y2+3z2, where T=°c and x,y,z in metres. In which direction does the temperature increases fastest at the point (1,1,-2). What is the maximum rate of increase.
Two blocks, A and B, are made of the same material. Block A has dimensions l x w x h = L X 2L X L and Block B has dimensions 2L X 2L X 2L. If the temperature changes, what is (a) the change in the volume of the two blocks, b) the change in the cross-sectional area l x w, and (c) the change in the height of the two blocks?
We know from Newton's Law of Cooling that the rate at which an object warms
up is proportional to the difference between the ambient temperature of the
room and the temperature of the object. The differential equation corresponding
to this situation is given by y' = k(M – y) where k is a positive constant. The
solution to this equation is given by y = M + (yo – M)e-kt , where yo is the
initial temperature of the object.
Suppose your Thanksgiving turkey is kept at a temperature of 40 degrees
Fahrenheit until it is put into a 350 degree Fahrenheit oven. It takes 2 hours for
the turkey to warm up to a safe eating temperature of 165 degrees Fahrenheit.
Find the values of yo, M, and k, for this situation, rounding your answers to 3
decimal places.
Yo=
M =
k=
Regardless of your answers above, suppose the k value in this situation is
k = 0.3. Find the initial rate of increase of the turkey's temperature as soon as it
is placed in the oven. Round to 3 decimal places.
degrees per hour.
Chapter 11 Solutions
College Physics
Ch. 11.2 - Prob. 11.1QQCh. 11.4 - Prob. 11.2QQCh. 11.5 - Will an ice cube wrapped in a wool blanket remain...Ch. 11.5 - Two rods of the same length and diameter are made...Ch. 11.5 - Stars A and B have the same temperature, but star...Ch. 11 - Rub the palm of your hand on a metal surface for...Ch. 11 - On a clear, cold night, why does frost tend to...Ch. 11 - Substance A has twice the specific heat of...Ch. 11 - Equal masses of substance A at 10.0C and substance...Ch. 11 - Prob. 5CQ
Ch. 11 - Prob. 6CQCh. 11 - Cups of water for coffee or tea can be warmed with...Ch. 11 - The U.S. penny is now made of copper-coated zinc....Ch. 11 - A tile floor may feel uncomfortably cold to your...Ch. 11 - In a calorimetry experiment, three samples A, B,...Ch. 11 - Figure CQ11.11 shows a composite bar made of three...Ch. 11 - Objects A and B have the same size and shape with...Ch. 11 - A poker is a stiff, nonflammable rod used to push...Ch. 11 - On a very hot day, its possible to cook an egg on...Ch. 11 - Prob. 15CQCh. 11 - Star A has twice the radius and twice the absolute...Ch. 11 - Convert 3.50 103 cal to the equivalent number of...Ch. 11 - Prob. 2PCh. 11 - A 75-kg sprinter accelerates from rest to a speed...Ch. 11 - Prob. 4PCh. 11 - A persons basal metabolic rate (BMR) is the rate...Ch. 11 - The temperature of a silver bar rises by 10.0C...Ch. 11 - The highest recorded waterfall in the world is...Ch. 11 - An aluminum rod is 20.0 cm long at 20.0C and has a...Ch. 11 - Lake Erie contains roughly 4.00 1011 m3 of water....Ch. 11 - A 3.00-g copper coin at 25.0C drops 50.0 m to the...Ch. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - A 1.5-kg copper block is given an initial speed of...Ch. 11 - Prob. 15PCh. 11 - Prob. 16PCh. 11 - What mass of water at 25.0C must be allowed to...Ch. 11 - Lead pellets, each of mass 1.00 g, are heated to...Ch. 11 - Prob. 19PCh. 11 - A large room in a house holds 975 kg of dry air at...Ch. 11 - Prob. 21PCh. 11 - A 1.50-kg iron horseshoe initially at 600C is...Ch. 11 - A student drops two metallic objects into a 120-g...Ch. 11 - When a driver brakes an automobile, the friction...Ch. 11 - A Styrofoam cup holds 0.275 kg of water at 25.0C....Ch. 11 - Prob. 26PCh. 11 - Prob. 27PCh. 11 - How much thermal energy is required to boil 2.00...Ch. 11 - A 75-g ice cube al 0C is placed in 825 g of water...Ch. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - A high-end gas stove usually has at least one...Ch. 11 - Prob. 38PCh. 11 - Steam at 100.C is added to ice at 0C. (a) Find the...Ch. 11 - The excess internal energy of metabolism is...Ch. 11 - A 3.00-g lead bullet at 30.0C is fired at a speed...Ch. 11 - A glass windowpane in a home is 0.62 cm thick and...Ch. 11 - A pond with a flat bottom has a surface area of...Ch. 11 - The thermal conductivities of human tissues vary...Ch. 11 - A steam pipe is covered with 1.50-cm-thick...Ch. 11 - The average thermal conductivity of the walls...Ch. 11 - Consider two cooking pots of the same dimensions,...Ch. 11 - A thermopane window consists of two glass panes,...Ch. 11 - A copper rod and an aluminum rod of equal diameter...Ch. 11 - A Styrofoam box has a surface area of 0.80 m and a...Ch. 11 - A rectangular glass window pane on a house has a...Ch. 11 - A granite ball of radius 2.00 m and emissivity...Ch. 11 - Measurements on two stars indicate that Star X has...Ch. 11 - The filament of a 75-W light bulb is at a...Ch. 11 - The bottom of a copper kettle has a 10.0-cm radius...Ch. 11 - A family comes home from a long vacation with...Ch. 11 - A 0.040.-kg ice cube floats in 0.200 kg of water...Ch. 11 - The surface area of an unclothed person is 1.50...Ch. 11 - A student measures the following data in a...Ch. 11 - Prob. 60APCh. 11 - A class of 10 students; taking an exam has a power...Ch. 11 - A class of 10 students taking an exam has a power...Ch. 11 - A bar of gold (Au) is in thermal contact with a...Ch. 11 - An iron plate is held against an iron, wheel so...Ch. 11 - Prob. 65APCh. 11 - Three liquids are at temperatures of 10C, 20C, and...Ch. 11 - Earths surface absorbs an average of about 960....Ch. 11 - A wood stove is used to heat a single room. The...Ch. 11 - Prob. 69APCh. 11 - Prob. 70APCh. 11 - The surface of the Sun has a temperature of about...Ch. 11 - The evaporation of perspiration is the primary...Ch. 11 - Prob. 73APCh. 11 - An ice-cube tray is filled with 75.0 g of water....Ch. 11 - An aluminum rod and an iron rod are joined end to...
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