The density of steel at 0°C is 8.0 g/cc. At what temperature is density lesser by 0.1%. Coefficient of linear thermal linear expansion of steel is 10

Engineering

Physics

Thermal Expansion

Question

The density of steel at 0°C is 8.0 g/cc. At what temperature is density lesser by 0.1%. Coefficient of linear thermal linear expansion of steel is 10^{– 5}/°C.

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$\frac{Δv}{v} = \frac{yvΔθ}{v} = 3 \propto Δθ$

$\frac{Δv}{v} = 1 \times 10^{- 3} = 3 \propto 10^{- 5} \times Δθ$

$\frac{1}{3 \times 10^{- 2}} = Δθ$

$\frac{100}{3} = Δθ = 33.3 ° C$ .

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