write a formula for the variation of density of a solid with temperature is given by the formula?
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from expansion of solids we know that
v = v₀(1+γt) .....1
here v = final volume
v₀ = initial volume
γ = co-efficient of volume expansion
t = tempareture difference
as the mass(m) remains same during expansion so we can write from equation 1
m/v = m/{v₀(1+γt)}
⇒m/v = m/v₀ × 1/(1+γt)
⇒ρ = ρ₀ × (1+γt)⁻¹ (ρ = density)
⇒ρ = ρ₀(1-γt)
v = v₀(1+γt) .....1
here v = final volume
v₀ = initial volume
γ = co-efficient of volume expansion
t = tempareture difference
as the mass(m) remains same during expansion so we can write from equation 1
m/v = m/{v₀(1+γt)}
⇒m/v = m/v₀ × 1/(1+γt)
⇒ρ = ρ₀ × (1+γt)⁻¹ (ρ = density)
⇒ρ = ρ₀(1-γt)
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Answer:
Solids: All forms of matter expand on heating; but in solids, heating has very little effect on the volume of the solid. Solids do not expand significantly to bring any considerable change in their volumes. As a result, the density of a solid does not change much with temperature variation.
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