A liquid occupies a volume of 2 × 10-4 m3 at 0 °C. Calculate the increase in its volume If It is heated to 80 °C.

[The coefficient of cubical expansion of the liquid is 4 × 10-4 K-1]


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Given: V0 = 2 × 10-4 m3, T0 = 0°C,T = 80°C,

γ= 4 × 10-4 K-1,

T – T0 = 80 – 0 = 80°C

To find: Increase in volume (∆V)

Formula: ∆V = V0γr(T – T0)

Calculation: From formula.

∆V = (2 × 10-4) (4 × 10-4) × 80

∴ ∆V = 6.4 × 10-6 m3

Increase m volume of the liquid is 6.4 × 10-6 m3.

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