Problem 1:How long does it take to heat a cup of coffee in a 1000-Watt microwave oven? This means thatenergy is used at the rate of 1000 Joules per second. Assume that the coffee starts at a normalroom temperature of 25°C.Step 1: Guess an answer.Step 2: Estimate the volume of the coffee in mL and the final temperature that you want toattain.Step 3: Assume coffee has the same density and thermal properties of water. Find its heatcapacity (specific heat times mass) in appropriate units.Step 4: Use the heat capacity and the desired temperature change to find the energyrequired.Step 5: Calculate the time required using the energy and the microwave power. Payattention to units and use Power = Energy/time.Step 5: Is your answer reasonable?

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Answered: How long does it take to heat a cup of…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 4PQ

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Similar questions

Convert the following to equivalent temperatures on the Celsius and Kelvin scales: (a) the normal human body temperature, 98.6F; (b) the air temperature on a cold day, 5.00F.
At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?
Super Invar, an alloy of iron and nickel, is a strong material with a very low coefficient of thermal expansion (0.20×× 10^-6 celcius). A 2.5 m -long tabletop made of this alloy is used for sensitive laser measurements where extremely high tolerances are required. A) How much will this alloy table expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units. B) How much will a 2.5-m-long table made of steel expand along its length if the temperature increases 7.0 C∘? Express your answer to two significant figures and include the appropriate units.
A surveyor uses a steel measuring tape that is exactly 75000 m long at a temperature of 20 degrees Celsius. What is the length (in m) of the tape when the temperature is 35 degrees Celsius? (xsteel = 1.2x10-5/K). The answer (in fundamental SI unit) is ______. (type the numerical value only)
An engineer who is working on the heat transfer analysis of a house in English units needs the convection heat transfer coefficient on the outer surface of the house. But the only value he can find from his handbooks is 22 W/m2·K, which is in SI units. The engineer does not have a direct conversion factor between the two unit systems for the convection heat transfer coefficient. Using the conversion factors between W and Btu/h, m and ft, and °C and °F, express the given convection heat transfer coefficient in Btu/h·ft2·°F.
A window has dimensions of 1.6 m by 2.85 m and is made of glass 7.25 mm thick. On a winter day, the outside temperature is 24° C while the inside temperature is a comfortable at 19.5° C. (k of glass =0.195W/m.K) (1.5+1.5+2 = 5marks)Calculate the following:a) the area of the window in square metres Answer for part 1 .b) the temperature gradient (ΔT/Δx)in kelvin/metre Answer for part 2 .c) the rate of heat lost through the window by conduction in watts Answer for part 3 .
The heat flux in an aluminum pan containing boiling water is 5 × 10^5 W/m2. The temperature of the surface of the pan in contact with boiling water is 119 °C. a) Determine the temperature gradient in the pan on this surface. b) Determine an equation for calculating the temperature of the surface that is not in contact with water as a function of the thickness of the pan. c) What will be the temperature on the surface that is not in contact with water if the thickness of the pan is 1.2 mm? What if it's 4.0 mm? d) Evaluating the results obtained in questions "a", "b" and "c", how does the thickness of the pan influence the temperature gradient?
A black wood stove has a surface area of 2.00 m2 and a surface temperature of 146°C. What is the net rate at which heat is radiated into the room? The room temperature is 20.0°C. Stefan–Boltzmann constant is 5.670 × 10−8 W/(m2·K4). in kW
Charles’ law states that for a fixed mass of gas under constant pressure, the volume V and temperature T of the gas (in kelvins) satisfy the equation V = kT, where k is constant. Find an equation relating dV>dt to dT>dt.
A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first omitting the negative sign and then thinking the temperature is Fahrenheit. That is, the person reads – x °C as x °F . Oddly enough, the result is the correct Fahrenheit temperature. What is the original Celsius reading? Round your answer to three significant figures.
An apartment has a living room whose dimensions are 2.5 m x 5.3 m x 4.3 m. Assume that the air in the room is composed of 79% nitrogen (N2) and 21% oxygen (O2). At a temperature of 24 °C and a pressure of 1.01 x 105 Pa, what is the mass (in grams) of the air?
A 4.00-m-long cylinder of solid aluminum has a radius of 2.00 cm. 1)If the cylinder is initially at a temperature of 5.00∘C, how much will the length change when the temperature rises to 30.0°C? (Express your answer to three significant figures.) 2)Due to the temperature increase, by how much (in %) would the density of the aluminum cylinder decrease? (Express your answer to three significant figures.) 3)By what percentage does the volume of the cylinder increase? (Express your answer to three significant figures.)

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