Problem 3: Look up electricity and natural gas prices on the internet. Use these to compare the cost of energy derived from electricity and natural gas. Assume natural gas is entirely methane (CHa) and that all the energy comes from its combustion. We know that the enthalpy of combustion of methane is 890 kJ. There are several ways to proceed. Here is one suggestion: For electricity, you can find the cost of a kilowatt-hour. Simply express this as Joules and divide the cost by the number of Joules to get price per Joule. If the number is inconveniently small, multiply by 106 to get cost per 1000 kJ. For natural gas you have the cost per 1000 ft3. Convert this to m3, and use the density given above to find the mass of methane contained in this volume. Convert mass to moles and use the known heat of combustion to get the energy content. Divide cost by energy content in Joules. The cost per Joule can be compared to the number you get for electricity. Again, if the cost per Joule is very low, write the amount as cost per 1000kJ.

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Chapter1: Chemical Foundations
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Problem 3:
Look up electricity and natural gas prices on the internet. Use these to compare the cost of
energy derived from electricity and natural gas. Assume natural gas is entirely methane (CHa)
and that all the energy comes from its combustion. We know that the enthalpy of combustion
of methane is 890 kJ.
There are several ways to proceed. Here is one suggestion:
For electricity, you can find the cost of a kilowatt-hour. Simply express this as Joules and
divide the cost by the number of Joules to get price per Joule. If the number is
inconveniently small, multiply by 106 to get cost per 1000 kJ.
For natural gas you have the cost per 1000 ft3. Convert this to m3, and use the density
given above to find the mass of methane contained in this volume. Convert mass to moles
and use the known heat of combustion to get the energy content. Divide cost by energy
content in Joules. The cost per Joule can be compared to the number you get for electricity.
Again, if the cost per Joule is very low, write the amount as cost per 1000kl.
Transcribed Image Text:Problem 3: Look up electricity and natural gas prices on the internet. Use these to compare the cost of energy derived from electricity and natural gas. Assume natural gas is entirely methane (CHa) and that all the energy comes from its combustion. We know that the enthalpy of combustion of methane is 890 kJ. There are several ways to proceed. Here is one suggestion: For electricity, you can find the cost of a kilowatt-hour. Simply express this as Joules and divide the cost by the number of Joules to get price per Joule. If the number is inconveniently small, multiply by 106 to get cost per 1000 kJ. For natural gas you have the cost per 1000 ft3. Convert this to m3, and use the density given above to find the mass of methane contained in this volume. Convert mass to moles and use the known heat of combustion to get the energy content. Divide cost by energy content in Joules. The cost per Joule can be compared to the number you get for electricity. Again, if the cost per Joule is very low, write the amount as cost per 1000kl.
Expert Solution
Step 1

Average cost of electricity per kilowatt-hour = 10.42 cent or $ 0.1042 

Average cost of natural gas = $ 9.52 per 1000 ft3 

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