Answer :
Given,1,000 ft3 of natural gas contains about 20.2 kg of methane. It is also given that when burned completely, it produces 122 lb. of carbon dioxide.
To find, The amount of methane consumed in one year The number of pounds of carbon dioxide produced. Solution: Given that, 1,000 ft3 of natural gas contains about 20.2 kg of methane. So, methane present in 1 ft3 of natural gas= 20.2 / 1000 kg= 0.0202 kg. When 1 ft3 of natural gas is burned completely, it produces 122/1 = 122 lb. of carbon dioxide. From the above data,1 ft3 of natural gas contains 0.0202 kg of methane. So, 1 kg of methane is present in = (1 / 0.0202) ft3 = 49.50 ft3 methane. Hence, 1 year has 365 days. So, total hours in a year = 365 days x 24 hours = 8,760 hours. Methane consumed in one year= Total natural gas consumed in a year × Methane present in 1 ft3 of natural gas= Volume of natural gas consumed in one year × 0.0202 kg/m3= 12,000 m3/year × 0.0202 kg/m3= 242.4 kg/year.
Number of pounds of carbon dioxide produced in one year= Total volume of natural gas burned × pounds of carbon dioxide produced by burning 1 ft3 of natural gas= 12,000 ft3/year × 122 pounds of carbon dioxide produced by burning 1 ft3 of natural gas= 1,464,000 pounds of carbon dioxide. Hence, methane consumed in one year is 242.4 kg/year and the number of pounds of carbon dioxide produced is 1,464,000 pounds.
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Final answer:
To calculate the amount of methane consumed in one year and the pounds of carbon dioxide produced, we can use the information provided in question 86 (a) and (c).
Explanation:
To calculate the amount of methane consumed in one year, we need to determine the volume of natural gas required to heat the house, as stated in question 86 (a).
We know that 1,000 ft3 of natural gas contains about 20.2 kg of methane, so we can use this information to find the volume of natural gas required for heating.
Next, to find the amount of carbon dioxide produced by combustion of the methane, we can use the information provided in question 86 (c).
We know that burning 1,000 ft3 of natural gas produces 122 lb of carbon dioxide. We can use this information to calculate the amount of carbon dioxide produced in one year.
