A block of quartz of mass 13.5g is weighed in aniline at $0^{0} C$ and $100^{0} C$ . The weighings are 8.905g and 9.29 g respectively. The coefficient of cubical expansion of aniline. Assuming the coefficient of cubical expansion of quartz to be zero is $9.2 \times 10^{- n}$ Find ‘n’

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answer is 4.

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Detailed Solution

Weight of liquid displaced is numerically equal to apparent loss of weight of the body immersed.

$W_{1} = 13 .50 gm; W_{2} = 8 .905 gm at 0^{\circ} C$

$W_{3} = 9 .290 gm at 100^{\circ} C$

$V_{1} = \frac{W_{1} - W_{2}}{ρ} = \frac{4 .595}{ρ} cc$

$V_{2} = \frac{W_{1} - W_{3}}{ρ} = \frac{4 .210}{ρ} cc$

$γ_{liquid} = \frac{V_{1} - V_{2}}{V_{2} (Δθ)} ≃ 9 .2 \times 10^{- 4} /^{0} C, n = 4$

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