Question

A large household air conditioner may consume 15.0 kW of power. What is the cost of operating this air conditioner 3.00 h per day for 30.0 d if the cost of electricity is $0.110 per kW·h?

a) $148.50
b) $178.20
c) $210.00
d) $225.00

Answer 1

The cost of operating the air conditioner for 3.00 h per day for 30.0 days is $148.50.

Step-by-step explanation:

To calculate the cost of operating the air conditioner, we need to find the total energy consumed and then multiply it by the cost per kW.h. The power consumption of the air conditioner is 15.0 kW and it operates for 3.00 hours per day for 30.0 days. Therefore, the total energy consumed is:

Energy consumed = Power x Time

= 15.0 kW x 3.00 h/day x 30.0 d

= 1,350 kW.h

Now, we can find the cost by multiplying the total energy consumed by the cost per kW.h:

Cost = Energy consumed x Cost per kW.h

= 1,350 kW.h x $0.110/kW.h

= $148.50

Therefore, the cost of operating the air conditioner for 3.00 h per day for 30.0 days is $148.50.