A glass bottle of initial volume 2 x 104 cm³ is heated from 20^oC to 50^oC. If the linear expansivity of glass is 9 x 10^-6K^-1, the volume of the bottle at 50^oC is

20016.2cm³

20005.4cm³

20008.1cm³

20013.5cm³

Correct answer is A

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

$3(9 \times 10^4) = \frac{V_2 - 2 \times 10^4}{2 \times 10^4(30)}$

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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