A piece of brass of mass 170kg has its temperature raised from 0ºC to 30ºC. Calculate its increase in volume, given the density of brass at 0 ^\circC as 8.5 x 103kgm\(^3\) and its cubic expansivity as 5.7 x 10\(^{-5}\)k\(^{-1}\)
A
3.4 x 10-4m3
B
4.3 x 10-5m3
C
3.4 x 10-5m3
D
3.4 x 10-3m3
E
3.4 x 10-2m3
Verified Correct Answer: C.
Physical Principles & Numerical Solution
V = \(\frac{m}{p}= \frac{170}{8.5 x 10^{-3}}\) = 0.02
= \(\Delta\)\(\frac{\delta V}{V \delta T}\)
\(\delta V\) = \(\Delta\) x V x \(\delta\)T
= 5.7 x \(10^{-5}\) x 0.02 x 30
= 3.42 x \(10^{-5}\)
Source: Myschool Past Questions Archive (Record #33555)