Mechanical Engineering Principles

(Dana P.) #1
THERMAL EXPANSION 229

Assignment 6


This assignment covers the material con-
tained in chapters 19 and 20.
The marks for each question are shown
in brackets at the end of each question.


  1. A block of aluminium having a mass of
    20 kg cools from a temperature of 250°C
    to 80°C. How much energy is lost by
    the aluminium? Assume the specific heat
    capacity of aluminium is 950 J/(kg°C).
    (5)

  2. Calculate the heat energy required to
    convert completely 12 kg of water at
    30 °C to superheated steam at 100°C.
    Assume that the specific heat capacity of


water is 4200 J/(kg°C), and the specific
latent heat of vaporisation of water is
2260 kJ/(kg°C).(7)


  1. A copper overhead transmission line has
    a length of 60 m between its supports at
    15 °C. Calculate its length at 40°C, if the
    coefficient of linear expansion of copper
    is 17× 10 −^6 K−^1 .(6)

  2. A gold sphere has a diameter of 40 mm at
    a temperature of 285 K. If the temperature
    of the sphere is raised to 785 K, determine
    theincreasein
    (a) the diameter


(b) the surface area

(c) the volume of the sphere.

Assume the coefficient of linear expan-
sion for gold is 14× 10 −^6 K−^1. (12)
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