Question
Iron has a density of 7.850 ✕ 103 kg/m3 at 0°C and an average linear expansion coefficient of 1.200 ✕ 10−5(°C−1). A 25.00 kgblock of iron at 0°C is heated to 85.00°C.
(a) What is the density (in kg/m3) of the iron block at 85.00°C? (Round your answer to at least four significant figures.)
kg/m3

(b) What is the mass (in kg) of the iron block at 85.00°C?
kg
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Step 1

a)

Calculate the initial volume Vo of the iron block from the initial density ρo  and mass m of the iron block as,

Step 2

Substitute 25 kg for m, 7.85(103) kg/m3 for ρo and solve for Vo as,

Step 3

Assuming that the block of iron is isometric, the relation between the volumetric thermal expansion coefficient &alp...

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### Mechanical Properties of Matter 