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Required information

A well$-$insulated $4-$m $\backslash (\backslash$times $4-\backslash$mathrm$\{$m$\}\backslash$times $5-\backslash$mathrm$\{$m$\}\backslash )$ room initially at $\backslash (10^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ is heated by the radiator of a steam heating system. The radiator has a volume of $15$ L and is filled with superheated vapor at $200$ kPa and $\backslash (200^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ At this moment both the inlet and the exit valves to the radiator are closed. A $120-$W fan is used to distribute the air in the room. The pressure of the steam is observed to drop to $100$ kPa after $35\mathrm{.}00$ min as a result of heat transfer to the room. Assuming constant specific heats for air at room temperature. Use data from tables.

Determine the entropy change of the steam. $($Round the final answer to four decimal places.$)$

The entropy change of the steam is $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash ).$