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Energy Math

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

A 2000W electric space heater was used for 3 hours and 30 minutes. How much energy did the heater use?

a)

2000W

b)

7000kWh

c)

7kWh

d)

2kWh

e)

6500kWh

2.

Fremont, with a population of 300,000 people, uses 8million Btu of energy each day. The yearly per capita energy consumption in the city is nearest to

a)

10,000BTU

b)

1,000,000Btu

c)

10,000,000Btu

d)

1,000,000,000Btu

e)

10,000,000,000Btu

3.

If a 100 W incandescent bulb uses 400 kJ of energy per hour. How much would a CFL use that is 3 times as efficient IN 30 MINUTES?

a)

66 kJ

b)

133 kJ

c)

200 kJ

d)

1200 kJ

4.

One gallon of fuel produces 5 lbs of CO2. Two cars drive 100 miles each. The first gets 10 MPG. The second gets 25 MPG. How much LESS CO2 is produced by the second car?

a)

10 pounds

b)

50 pounds

c)

30 pounds 

d)

15 pounds

5.

If the capacity of a power plant is 1,000 MW and its capacity factor is 0.9, how much energy in MWh can the power plant produce in 1 day?

a)

27,000 MWh

b)

26,700 MWh

c)

21,600 MWh

d)

2,160 MWh

6.

How is the efficiency of a device calculated?

a)

(useful energy out divided by total energy in ) x 100

b)

(useful energy out x by total energy in ) x 100

c)

(useful energy in divided by total energy out ) x 100

d)

(useful energy x divided by total energy in )divided by 100

7.

How many cubic feet of natural gas do the 5,100 homes of Tichigan currently consume in one year?

a)

5,100,000 ft3

b)

25,500,000 ft3

c)

1,000,000 ft3

d)

6,120,000 ft3

8.

Tichigan is a rural community in Wisconsin with a population of 5,100 homes. It gets its heat energy from natural gas. The average home consumes 1,000 cubic feet of natural gas per year. Residents of Tichigan pay the utility $0.05 per cubic foot of gas.


How much does the town need to pay for all its energy?

a)

$255,000

b)

$500,000

c)

$205,000

d)

$155,000

9.

A family is building a new home in Chattanooga, TN. Assume the following conditions are true:

* The house has 3500 square feet

* 100,000 BTUs of heat per square foot are required to heat the house for the winter

* One cubic foot of natural gas supplies 1000 BTUs of heat energy.

* Natural gas sells for $0.03 per cubic foot

What is the total amount of energy (BTUs) needed to heat the house for winter?

a)

350,000,000 BTUs

b)

100,000,000 BTUs

c)

30,000,000 BTUs

d)

3,500,000 BTUs

10.

A family is building a new home in Chattanooga, TN. Assume the following conditions are true:

* The house has 3500 square feet

* 100,000 BTUs of heat per square foot are required to heat the house for the winter

* One cubic foot of natural gas supplies 1000 BTUs of heat energy.

* Natural gas sells for $0.03 per cubic foot


What is the number of cubic feet of natural gas required to heat the house for the winter?

a)

350,000 ft3

b)

100,000 ft3

c)

30,000 ft3

d)

3,500 ft3

11.

A 1500W microwave oven is used for 2 hours. How much energy does it consume?

a)

3 kWh

b)

2 kWh

c)

1.5 kWh

d)

4 kWh

12.

A city with a population of 500,000 uses 10 million Btu of energy daily. What is the annual per capita energy consumption?

a)

7,300 Btu

b)

10,000 Btu

c)

20,000 Btu

d)

30,000 Btu

13.

If a 60 W LED bulb uses 216 kJ of energy per hour, how much energy does it use in 45 minutes?

a)

162 kJ

b)

108 kJ

c)

54 kJ

d)

216 kJ

14.

A car travels 200 miles using 8 gallons of fuel. If another car travels the same distance using 5 gallons, how much less CO2 does the second car produce if 1 gallon produces 20 lbs of CO2?

a)

60 lbs

b)

40 lbs

c)

20 lbs

d)

80 lbs

15.

A wind turbine has a capacity of 2 MW and a capacity factor of 0.5. How much energy in MWh can it produce in a day?

a)

24 MWh

b)

12 MWh

c)

48 MWh

d)

36 MWh