A cold Pepsi is taken out of a 50◦ refrigerator and placed on a picnic table. The outside temperature remains constant at 90◦, and ten minutes later the Pepsi has warmed up to 65◦. Let T (t) be the temperature of the Pepsi after it has been on the table for t minutes. Use Newton’s Law of Cooling to find T (t)

A cold Pepsi is taken out of a 50◦ refrigerator and placed on a picnic table. The outside temperature remains constant at 90◦, and ten minutes later the Pepsi has warmed up to 65◦. Let T (t) be the temperature of the Pepsi after it has been on the table for t minutes. Use Newton’s Law of Cooling to find T (t)

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 2PQ

See similar textbooks

Similar questions

You take an aluminum cylinder with a mass m = (315± 2) g out of a furnace at temperature T = (250 ± 5)C °and place it in a large bath of cool water. The final 1 temperature of the cylinder and water is T2 = (29 ±1) C° . How much heat flows from the cylinder to the water, and what are the absolute and relative errors in the heat transfer out of the cylinder? The heat transfer is given by Q = mc T ∆where ∆T is the change in temperature and c = (0.215± 0.005)cal/g C is ⋅t°he specific heat of aluminum.
A thermos contains m1=0.81kg of tea at T1=26 degrees Celcius. Ice (m2=0.065kg, T2=0 degrees celcius) is added to it. The heat capacity of both water and tea is c=4186J/(kg*K), and the latent heat of fusion for water is Lf=33.5x10^4 J/kg. a.) Find an expression for the final temperature after the ice has melted and the system has reached thermal equilibirum. b.) What is the final teperature in K.
In a calorimetry experiment, two liquid substances X and Y with the same mass are placed in separate isolated containers. The specific heat of the substances are related by cX=2cY. If the substances receive the same amount of heat, what will be the relationship between the change in temperature, ΔTX and ΔTY? A. ΔTX=ΔTY B. ΔTX=2ΔTY C. ΔTX=4ΔTY D. 2ΔTX=ΔTY
A 60 kg patient suffers from hyperthermia, having a mean body temperature of 41 °C. The patient is placed in a bath containing 50 kg of water. The speciﬁc heat capacity of the water is 4.19 kJ kg−1 K−1 and the average speciﬁc heat capacity of the patient is 3.49 kJ kg−1 K−1. In order for the ﬁnal temperature of the water and patient to be 37 °C, what should the initial temperature of the water be?
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 .
Metal rod A is 30.0 cm long and expands by 0.0650 cm when its temperature is raised from 0.00°C to100.0°C. Metal rod B of the same length expands by 0.0350 cm for the same rise in temperature. What are their linear coefficient of thermal expansions?
A rectangular window in a home has a length of 1.5 m and a height of 0.80 m. If the window allows heat to escape from the home at a rate of 2,000 watts, how thick must the window be if the inside temperature of the home is 220 C and the outside temperature is 3.00C? (Assume that the coefficient of thermal conduction of glass is 0.80 W/mK.) a. 7.1 mm b. 124 mm c. 9.1 mm d. 8.1 mm e. 11 mm
What is the cost of heating water in a swimming pool of radius 3.5 m and depth 1.3 m from 13 degress celcius to 27 degress Celcius. If the price of energy is $0.08/ KWh. The specific heat of water is 4186 J/Kg/Cdegrees and density of water is 1000 Kg/m^3. (Hint: Volume of cylinder is πr2h) A. $30.25 B. $65.15 C. $95.50 D. $25.25 E. $133
An immersion heater of power J= 500 W is used to heat water in a bowl. After 2 minutes, the temperature increases from T1= 85°C to T2 = 90°C. The heater is then switched off for an additional minute, and the temperature drops by δT=1°C. Estimate the mass m of the water in the bowl. The thermal capacity of water c = 4.2 x 103 J K-1Kg-1.
In a manufacturing facility, 5-cm-diameter brass balls (r = 8522 kg/m3 and cp = 0.385 kJ/kg · °C) initially at 120°C are quenched in a water bath at 50°C for a period of 2 min at a rate of 100 balls per minute. If the temperature of the balls after quenching is 74°C, determine the rate at which heat needs to be removed from the water in order to keep its temperature constant at 50°C.
A metal bar is 2.60 m long at 21 ◦C. The bar is uniformly heated to a temperature of 28 ◦C and the change in length was determined to be 7.0 X 10-6 meters. What is the coefficient of linear expansion for the metal bar?
To illustrate the effect of ice on the aluminum cooling plate, consider the drawing shown here and the data that it contains. Ignore any limitaions due to significant figures. How much heat per second per square meter is conducted through the ice-aluminum combination and through the aluminum by itself? combination: 6580 J/(s m2), aluminum only: 6580 J/(s m2) combination: 2400000 J/(s m2), aluminum only: 2400000 J/(s m2) combination: 2400000 J/(s m2), aluminum only: 6580 J/(s m2) combination: 6580 J/(s m2), aluminum only: 2400000 J/(s m2)