6. Calculate the change in volume of an iron block 10 cm × 20 cm × 5 cm if its temperature is raised from
10 °C to 40 °C. Given, coefficient of linear expansion of iron =1.2 × 10-5 °C
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Given info : an iron block of dimension 10cm × 20cm × 5cm, its temperature is raised from 10°C to 40°C and coefficient of linear expansion is 1.2 × 10¯⁵/°C
To find : The change in volume of an iron ore is ...
solution : using formula, ∆V = V₀γ∆T
where V₀ is initial volume, γ is coefficient of volume expansion and ∆T is change in temperature.
here, V₀ = 10cm × 20cm × 5cm = 1000 cm³ = 10¯³ m³
γ = 3α = 3 × 1.2 × 10¯⁵/°C = 3.6 × 10¯⁵/°C
∆T = 30°C
now, ∆V = 10¯³ × 3.6 × 10¯⁵ × 30 m³
= 108 × 10^-8 m³
= 1.08 × 10¯⁶ m³
Therefore the change in volume of iron block is 1.08 × 10¯⁶ m³.
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