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To determine how much CO2 was produced by a household appliance with a wattage of 3,414 when used for 4 hours, we follow these steps:
1. Convert the appliance’s wattage usage to kilowatt-hours (kWh):
[tex]\[ \text{kWh} = \frac{\text{wattage} \times \text{hours}}{1000} \][/tex]
Plugging in the values:
[tex]\[ \text{kWh} = \frac{3414 \text{ watts} \times 4 \text{ hours}}{1000} \][/tex]
Simplifying the fraction:
[tex]\[ \text{kWh} = \frac{13656 \text{ watt-hours}}{1000} \][/tex]
[tex]\[ \text{kWh} = 13.656 \][/tex]
2. Calculate the CO2 emissions produced:
Average CO2 emissions from electricity generation in the US are 0.92 pounds of CO2 per kWh. Thus:
[tex]\[ \text{CO2 produced} = \text{kWh} \times 0.92 \text{ pounds per kWh} \][/tex]
Plugging in the kWh value:
[tex]\[ \text{CO2 produced} = 13.656 \text{ kWh} \times 0.92 \text{ pounds per kWh} \][/tex]
[tex]\[ \text{CO2 produced} = 12.56432 \][/tex]
3. Round the CO2 produced to 1 decimal place:
[tex]\[ \text{CO2 produced} \approx 12.6 \text{ pounds} \][/tex]
Thus, the appliance produces approximately 12.6 pounds of CO2 when used for 4 hours.
1. Convert the appliance’s wattage usage to kilowatt-hours (kWh):
[tex]\[ \text{kWh} = \frac{\text{wattage} \times \text{hours}}{1000} \][/tex]
Plugging in the values:
[tex]\[ \text{kWh} = \frac{3414 \text{ watts} \times 4 \text{ hours}}{1000} \][/tex]
Simplifying the fraction:
[tex]\[ \text{kWh} = \frac{13656 \text{ watt-hours}}{1000} \][/tex]
[tex]\[ \text{kWh} = 13.656 \][/tex]
2. Calculate the CO2 emissions produced:
Average CO2 emissions from electricity generation in the US are 0.92 pounds of CO2 per kWh. Thus:
[tex]\[ \text{CO2 produced} = \text{kWh} \times 0.92 \text{ pounds per kWh} \][/tex]
Plugging in the kWh value:
[tex]\[ \text{CO2 produced} = 13.656 \text{ kWh} \times 0.92 \text{ pounds per kWh} \][/tex]
[tex]\[ \text{CO2 produced} = 12.56432 \][/tex]
3. Round the CO2 produced to 1 decimal place:
[tex]\[ \text{CO2 produced} \approx 12.6 \text{ pounds} \][/tex]
Thus, the appliance produces approximately 12.6 pounds of CO2 when used for 4 hours.
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