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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