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endeavor
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I need to show that the density of a solid substance varies with temperature as d = d0(1 - 3aT), where a is the thermal coefficient and T is the change in temperature.
I know V = V0 (1 + 3aT) and V = m/d. Since m is constant,
d0 = d(1 + 3aT)
d0 - d03aT = d + d3aT - d03aT
d0(1 - 3aT) = d +3aT(d - d0)
Am I now supposed to assume that the d only changes a little compared to d0, so that (d - d0) = 0?
I know V = V0 (1 + 3aT) and V = m/d. Since m is constant,
d0 = d(1 + 3aT)
d0 - d03aT = d + d3aT - d03aT
d0(1 - 3aT) = d +3aT(d - d0)
Am I now supposed to assume that the d only changes a little compared to d0, so that (d - d0) = 0?