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Chapter 19: Q. 18 (page 543)

A scientist whose scale is broken but who has a working

2.5 kW heating coil and a thermometer decides to improvise

to determine the mass of a block of aluminum she has recently

acquired. She heats the aluminum for 30 s and finds that its

temperature increases from 20C to 35C. What is the mass of the

aluminum?

Short Answer

Expert verified

The mass of the aluminum ism=5.643[kg]

Step by step solution

01

Given information

The coil's power is2.5kW, it runs for 30seconds, and the temperature increment is150cIt's an aluminium block.

02

Calculation

formula used:

The heat provided by the heating coil is:

Q=P螖t

From aluminum property table:

Cp=0.886Jg螖掳C

The heating coil was turned on 30 seconds, and the heat produced is:

Q=2.5[kW]螖30[s]=75[kJ]=75,000[J]Q=m螖0.886Jg螖掳C螖35C鈭�-20C鈭�=75,000[J]

Solving for m:

m=75,000[J]0.886J8螖掳C螖35C鈭�-20C鈭�=5,643[g]m=5.643[kg]

We could compute the block's mass by supposing it absorbed all of the heat. This isn't always the case, and the mass will be smaller.

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Most popular questions from this chapter

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