First slide

Thermal expansion

Question

A glass flask of volume 1 litre is fully filled with mercury at 0°C. Both the flask and mercury are now heated to 100°C. If the coefficient of volume expansion of mercury is $1 \cdot 82 \times 10^{- 4} /^{\circ} C$ , volume coefficient of linear expansion of glass is 10 x 10^{- 6}/°C, the amount of mercury which is spilled out is

Moderate

A

15.2 ml
B

17.2 ml
C

19.2 ml
D

21.2 ml

Solution

$\begin{array}{l} ΔV = V_{0} (γ_{m} - γ_{g}) 100 \\ = 1 [1 \cdot 82 \times 10^{- 4} - 3 \times (10 \times 10^{- 6})] 100 \\ = [1 \cdot 82 \times 10^{- 4} - 0 \cdot 3 \times 10^{- 4}] 100 \\ = 15 \cdot 2 ml \end{array}$

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