When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C in 155 s. In another bath, thesame cooling occurs in 135 s. Find the temperature of the second bath.(Use decimal notation. Give your answer to two decimal places. Round any intermediate calculations, if needed, to no less thanfive decimal places.)temperature of the second bath: At 10:30 AM, detectives discover a dead body in a room and measure its temperature at 27°C. One hour later, the body'stemperature had dropped to 24.8°C. Determine how many hours had passed since the death occured (when the body temperaturewas a normal 37°C), by the time the body was discovered, assuming that the temperature in the room was held constant at 14°C.(Use decimal notation. Give your answer to one decimal place. Round any intermediate calculations, if needed, to no less thanthree decimal places.)the number of hours:

Given that:Temperature of first bath, Ts,1=25°CInitial temperature, To=100°CFinal temperature, T(t)=50°CTime taken, t=155 sLet the temperature of the second bath=Ts,2Time taken, t=135 sFrom Newton's law of cooling:T(t)=Ts,1+(To-Ts,1)e-kt150=25+(100-25)e-k×155k=7.09×10-3 s-1Also:T(t)=Ts,2+(To-Ts,2)e-kt250=Ts,2+(100-Ts,2)e-7.09×10-3×13550=Ts,2+(100-Ts,2)×0.38450=Ts,2+38.4-0.384Ts,2Ts,2=18.8°C (Ans)

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When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C in 155 s. In another bath, the same cooling occurs in 135 s. Find the temperature of the second bath. (Use decimal notation. Give your answer to two decimal places. Round any intermediate calculations, if needed, to no less than five decimal places.) temperature of the second bath: °C

When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C in 155 s. In another bath, the same cooling occurs in 135 s. Find the temperature of the second bath. (Use decimal notation. Give your answer to two decimal places. Round any intermediate calculations, if needed, to no less than five decimal places.) temperature of the second bath: °C

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Calorimetry

Measuring the heat transferred during chemical reactions or other physical processes is known as calorimetry. It comes under the branch of thermochemistry.

Question

When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C in 155 s. In another bath, the
same cooling occurs in 135 s. Find the temperature of the second bath.
(Use decimal notation. Give your answer to two decimal places. Round any intermediate calculations, if needed, to no less than
five decimal places.)
temperature of the second bath:

At 10:30 AM, detectives discover a dead body in a room and measure its temperature at 27°C. One hour later, the body's
temperature had dropped to 24.8°C. Determine how many hours had passed since the death occured (when the body temperature
was a normal 37°C), by the time the body was discovered, assuming that the temperature in the room was held constant at 14°C.
(Use decimal notation. Give your answer to one decimal place. Round any intermediate calculations, if needed, to no less than
three decimal places.)
the number of hours:

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