A $2\mathrm{.}5-$m x $5-$m x $10-$m classroom needs to be heated by geothermal energy. The rate of the heat transfer to the classroom is $10025$ kJ$/$h$,$ and a $122-$W fan is used to circulate the air inside of classroom. Determine how long it will take for the air temperature to rise to $25$C if the initial temperature of the air is $7$C and the overall rate of a heat loss from classroom is $3826$ kJ$/$kg$.$ Write your answer in seconds with $2$ decimal figures. Assume constant specific heats at room temperature and classroom is at sea level.