Answer:
The final temperature of the air is
Explanation:
We can start by doing an energy balance for the closed system

where
= the change in kinetic energy.
= the change in potential energy.
= the total internal energy change in a system.
Q = the heat transferred to the system.
W = the work done by the system.
We know that there are no changes in kinetic or potential energy, so
and 
and our energy balance equation is 
We also know that the paddle-wheel transfers energy to the air at a rate of 1 kW and the system receives energy by heat transfer at a rate of 0.5 kW, for 5 minutes.
We use this information to calculate the total internal energy change
using the energy balance equation.
We convert the interval of time to seconds 


We can use the change in specific internal energy
to find the final temperature of the air.
We are given that
and the air can be describe by ideal gas model, so we can use the ideal gas tables for air to determine the initial specific internal energy 

Next, we will calculate the final specific internal energy 



With the value
and the ideal gas tables for air we make a regression between the values
and
and we find that the final temperature
is 605 K.