A brass cube of side 10cm is heated through 30^\circC. If the linear expansivity of brass is 2.0 \times I0\(^{-5}\) K-1 , what is the increase in its volume?
A
0.06 cm3
B
0.18cm3
C
0.60cm3
D
1.20cm3
E
1.80cm3
Verified Correct Answer: E.
Physical Principles & Numerical Solution
cubic expansivity and γ = 3\alpha. → 3 * 2.0 \times I0\(^{-5}\)
cubic expansivity = 6.0 \times I0\(^{-5}\) , Ø = 30^\circC,
Volume(v\(_1\)) = L\(^3\) = 10\(^3\) → 1000
V\(_2\) = V\(_1\)(1 + γ\theta)
→ V\(_2\) = 1000[1 + 6.0 \times I0\(^{-5}\) * 30]
= 1000[1 + 0.0018]
= 1000 * 1.0018 → 1,001.8
increase in volume = 1,001.8 - 1000
→ 1.8cm\(^3\)
Source: Myschool Past Questions Archive (Record #42868)