A piece of chicken is boiled until its internal temperature reaches 165 °F. The chicken is then transferred to arefrigerator held at 49 °F to cool down. The internal temperature of the chicken at time t is given by T(t), and thetemperature obeys Newton's lawdT=-k(T - Tm)where Tm is the temperature of the refrigerator and k > 0 is a constant.After 5 minutes in the refrigerator, the internal temperature of the chicken is 155 °F. How long will it take for thetemperature of the chicken to reach 70 °F?

Given the formula for Newton's cooling law…

Answered: A piece of chicken is boiled until its…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Similar questions

A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t. A(t) = Ib
A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a 1 damping force that is numerically equal to - the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s? for the acceleration due to gravity.) x(t) = ft
A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t. A(t) = 9
Automobile traffic passes a point P on a road of width w feet with an average rate of R vehicles per second. Although the arrival of automobiles is irregular, traffic engineers have found that the average waiting time T until there is a gap in traffic of at least 1 seconds is approximately T = te Riseconds. A pedestrian walking at a speed of 3.3 ft/s requires t =s to cross the road. Therefore, the average time the pedestrian will have to wait before crossing is f(w, R) = () WR/3.3 What is the pedestrian's average waiting time if w = 24 ft and R = 0.2 vehicle per second? (Use decimal notation. Give your answer to two decimal places.) (= Use the Linear Approximation to estimate the increase in waiting time if w is increased to 26 ft. (Use decimal notation. Give your answer to two decimal places.) Af = 31.15 t = Estimate the waiting time if the width is increased to 26 ft and R decreases to 0.18. (Use decimal notation. Give your answer to two decimal places.) 6.37 A = 32.48 Incorrect What…
A tank contains 120 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t. A(t) = 9
Water containing 0.5 lb/gal of salt enters a tank at a rate of 2 gal/min and leaves the tank at a rate of 3 gal/min. Suppose the tank initially contains 300 gallons of water and 60 lb of salt. (a) Set up an ODE for the amount of salt in the tank, x(t). b)solve it c)Sketch an accurate solution for x(t). Don't omit details.
Calculate G(16), where dG/dt =t-1/2 and G(9) = -5.

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