The volume occupied by $1\mathrm{.}00$mol of a liquid at $50C$ is $2{10}^{-5}{m}^3.$ When the liquid is vaporised at an atmospheric pressure of $1\mathrm{.}03{10}^{5}Pa,$ the vapour occupies a volume of $5{10}^{-2}{m}_4^3$ The latent heat to vaporise $1\mathrm{.}00$mol of this liquid at $50C$ at atmospheric pressure is $3\mathrm{.}48{10}^{4}J.$ For this change of state, determine the increase in internal energy $U$ of the system.

Select one:

a$.$

$-29652]$

b$.$

$296523$

c$.$

$399483$

d$.$

$-39941$