A glass bottle of initial volume 2 x 104 cm3 is heated from 20oC to 50oC. If the linear expansivity of glass is 9 x 10-6K-1, the volume of the bottle at 50oC is
-
A.
20016.2cm3 -
B.
20005.4cm3 -
C.
20008.1cm3 -
D.
20013.5cm3
Correct Answer: Option A
Explanation
(gamma = frac{V_2 – V_1}{V(theta)})
(3(9 times 10^4) = frac{V_2 – 2 times 10^4}{2 times 10^4(30)})
V2 – 2 x 104 = 2 x 104 (30) x 3 (9 x 10-6)
V2 = 2 x 104 2 x 104 (30) x 3 (9 x 10-6)
V2 = 16.2 + 2 x 104
V2 = 20016.2cm3
There is an explanation video available below.