How to find power from gallons?

[Sneakatone]

during the seven months of the cold season in the northeastern United states, a medium-sized house requires about 1.0x10^8 Btu of heat to keep warm. Atypical furnace delivers 1.3x10^5 Btu of heat per gallon of fuel oil.

a) How many gallons of fuel oil does a house consume during the cold season if it uses 2.2x10^8 Btu of heat?
I converted 2.2x10^8 by 2.2x10^8/125,000= 1833 gal

b)what is the average power delivered by the furnace?
I don't know how to do this

 

[rude man]

during the seven months of the cold season in the northeastern United states, a medium-sized house requires about 1.0x10^8 Btu of heat to keep warm. Atypical furnace delivers 1.3x10^5 Btu of heat per gallon of fuel oil.

a) How many gallons of fuel oil does a house consume during the cold season if it uses 2.2x10^8 Btu of heat?
I converted 2.2x10^8 by 2.2x10^8/125,000= 1833 gal

Where did 25,000 come from? Try a slightly different number.

b)what is the average power delivered by the furnace?
I don't know how to do this

power = heat pr unit time. In this case Btu/sec. If the furnace delivers 2.2e8 Btu in 7 months, how many Btu does it deliver in 1 sec.? Then convert Btu to Joules and you get - what?

 

[Sneakatone]

for 1 I put 125000
12.12 btu per sec =12 787.2769 joules

 

[rude man]

for 1 I put 125000
12.12 btu per sec =12 787.2769 joules

Sorry, I meant where did 125,000 come from?

12.12 Btu/s is about right (I got 11.96 but never mind that).

I'll take your word for the no. of J per Btu.
So if I generate 12 787.2769 J/sec. what's that in units of power?

 

[Sneakatone]

125000 is the conversion factor from Btu to gal.

12787.27 J/sec is also watts which is power

 

[rude man]

125000 is the conversion factor from Btu to gal.

'Fraid not. Btu and gallons are different units of measure. You can't equate them.

Look again at how many Btu you get from 1 gallon, then look again at how many Btu are consumed in one season ...

12787.27 J/sec is also watts which is power

That is correct.

 

[Sneakatone]

thanks a lot !