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$(25$ points$)$ A radiator of a heating system has a volume of $0\mathrm{.}02m^3.$ After it is filled with dry

suturated steam at $200$ kPa $,$ the radiator valves are then closed. As a result of heat transfer to the

room $($surroundings$),$ the steam pressure drops to $100$ kPa $.$ The thermodynamics scenario is

sehomatically shown in the figure given below.

$3\mathrm{.}1$ The internal energy at state $1$ is $2529\mathrm{.}5k\frac{J}{K}g.$

True

False

$3\mathrm{.}2$ The mass of steam in the radiator is $0\mathrm{.}0826$ Kg $.$

True

False

$3\mathrm{.}3$ The quality at $100$ kPa is $0\mathrm{.}5226$

True

False

$3\mathrm{.}4$ The internal energy at state $2$ is $3508\mathrm{.}90k\frac{J}{K}g.$

True

False

$3\mathrm{.}5$ At constant volume $($isometric$)$ process, the heat transfer is $-23\mathrm{.}10k\frac{J}{K}g.$

True

False