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15. If
V
c
is the original volume of the cup,
α
a
is the coefficient of linear expansion of
aluminum, and
Δ
T
is the temperature increase, then the change in the volume of the cup
is
Δ
V
c
= 3
a
V
c
Δ
T
. See Eq. 1811. If
β
is the coefficient of volume expansion for
glycerin then the change in the volume of glycerin is
Δ
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 Spring '08
 Any
 Physics

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