A heated metal ball S is dropped into a liquid. As S cools, its temperature, TC, t
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A heated metal ball S is dropped into a liquid. As S cools, its temperature, T°C, t minutes after it enters the liquid, is given by T = 400e−0.05t + 25, t ≥ 0.
a. Find the temperature of S as it enters the liquid.
b. Find how long S is in the liquid before its temperature drops to 300 °C.
Give your answer to 3 significant figures.
c. Find the rate, dT/dt, in °C per minute to 3 significant figures, at which the temperature of S is decreasing at the instant t = 50.
d. With reference to the equation given above, explain why the temperature of S can never drop to 20 °C.
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a The temperature of ball S as it enters the liquid can be found by evaluating the temperature equat...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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