The total heat necessary to heat up the air in the room from the initial temperature of 9 degree C to the final temperature of 27 degree C is:

`Q =m*c*Delta(T) =48000*1.03*(27-9) =889920 J`

Here the mass was taken in grams since the specific heat of air `c` is given in J/g*K.

The transformation between KWh and J is

`1KW*h =1000*3600 W*s =3.6*10^6 J`

Therefore the total energy in KWh necessary to heat up the air in the room is

`Q (KWh)= (Q(J))/(3.6*10^6) =889920/(3.6*10^6) =0.2472 KWh`

**The total heat necessary to heat up the air in the room is 0.2472 KWh.**

**Further Reading**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now