A brass cube of side 10cm is heated through 30°C. If the linear expansivity of...

A brass cube of side 10cm is heated through 30°C. If the linear expansivity of brass is 2.0 × I0\(^{-5}\) K-1 , what is the increase in its volume?

cubic expansivity and γ = 3α. → 3 * 2.0 × I0\(^{-5}\)

cubic expansivity = 6.0 × I0\(^{-5}\) , Ø = 30°C,

Volume(v\(_1\)) = L\(^3\) = 10\(^3\) → 1000

V\(_2\) = V\(_1\)(1 + γθ)

→ V\(_2\) = 1000[1 + 6.0 × I0\(^{-5}\) * 30]

= 1000[1 + 0.0018]

= 1000 * 1.0018 → 1,001.8

increase in volume = 1,001.8 - 1000

→ 1.8cm\(^3\)

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