The linear expansivity of brass is 2 x 10(^{-5}) C(^{-1}). If the volume of a piece of brass is 15.00cm at 0°C, what is the volume at 100°C
-
A.
16.03cm(^3) -
B.
15.09cm(^3) -
C.
16.00cm(^3) -
D.
15.03cm(^3)
Correct Answer: Option B
Explanation
Volume Expansivity (gamma) = (3alpha)
(gamma = 3 times 2times10^{-5})
(gamma = 6times10^{-5}C^{-1})
(V_{2} = V_{1}(1 + gammatheta))
(V_{2} = 15( 1 + (6times10^{-5}times(100-0))))
(V_{2} = 15(1.006))
= (15.09cm^{3})
There is an explanation video available below.