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
-
20016.2cm3
- 20005.4cm3
- 20008.1cm3
- 20013.5cm3
The correct answer is: 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
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