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JAMB Physics 2014 Paper

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Question : 41

Total: 41

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

Solution:

$\gamma = \frac{V_2 - V_1}{V(\theta)}$

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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