Problem $2\mathrm{.}3$ Pressure change with temperature in a constant volume process $($problem $3\mathrm{.}3,$

Ragone$)$

A strong $($nondeforming$)$ capillary tube filled with mercury and closed at $0C$ is heated to $10$

$C.$ Assuming that the volume of the capillary remains constant, calculate the resulting

pressure. For mercury near room temperature the volumetric coefficient of expansion is ${}_v=$

$18{10}^{-5}{K}^{-1}$ and the compressibility is $=3\mathrm{.}7{10}^{-6}at{m}^{-1}.$

$[$Hint: First, derive the expression of $(\frac{\text{d}\text{e}\text{l}\text{p}}{\text{d}\text{e}\text{l}\text{T}}{)}_V$ as function of ${}_v$ and $[$:$$