A temperature change T causes a volume change V but has no effect on the mass of

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A temperature change ΔT causes a volume change ΔV but has no effect on the mass of an object. 

(a) Show that the change in density Δρ is given by Δρ = −βρ ΔT. 

(b) Find the fractional change in density (Δρ/ρ) of a brass sphere when the temperature changes from 32°C to −10.0°C.

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