Coefficient of linear expansion of a vessel completely filled with Hg is 1 × 10-5 / ° C. If there is no overflow of Hg on heating the vessel, then coefficient of cubical expansion of Hg is

Question

Coefficient of linear expansion of a vessel completely filled with Hg is 1 × 10-5 / ° C. If there is no overflow of Hg on heating the vessel, then coefficient of cubical expansion of Hg is (A) 4 × 10-5 / ° C (B) >3 × 10-5 / ° C (C) ≤ 3 × 10-5 / C (D) Data is insufficient

Tardigrade Admin · Accepted Answer

Expansion in Hg volume ≤ expansion in container. ⇒ Volume coefficient of Hg ≤ 3 × Linear coefficient of expansion of vessel ≤ 3 × 1 × 10-5 / ° C &gamma;H g ≤ 3 × 10-5 / ° C

Q. Coefficient of linear expansion of a vessel completely filled with $H g$ is $1 \times 1 0^{- 5} /^{\circ} C$ . If there is no overflow of $H g$ on heating the vessel, then coefficient of cubical expansion of $H g$ is

$4 \times 1 0^{- 5} /^{\circ} C$

$> 3 \times 1 0^{- 5} /^{\circ} C$

$\leq 3 \times 1 0^{- 5} / C$

Data is insufficient

Expansion in $H g$ volume $\leq$ expansion in container.
$\Rightarrow$ Volume coefficient of $H g \leq 3 \times$ Linear coefficient of expansion of vessel
$\leq 3 \times 1 \times 1 0^{- 5} /^{\circ} C$
$γ_{H g} \leq 3 \times 1 0^{- 5} /^{\circ} C$

Q. Coefficient of linear expansion of a vessel completely filled with Hg is 1×10−5/∘C. If there is no overflow of Hg on heating the vessel, then coefficient of cubical expansion of Hg is

4×10−5/∘C

>3×10−5/∘C

≤3×10−5/C