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From July 2008 changes will apply to the way in which taxes are levied on new cars bought in Ireland - Leaving Cert Chemistry - Question (b) - 2008

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From July 2008 changes will apply to the way in which taxes are levied on new cars bought in Ireland. Vehicles that, in controlled tests, have higher levels of carbo... show full transcript

Worked Solution & Example Answer:From July 2008 changes will apply to the way in which taxes are levied on new cars bought in Ireland - Leaving Cert Chemistry - Question (b) - 2008

Step 1

Calculate the mass of CO2

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Answer

To find the mass of CO2 produced per day, use the formula:

extMassofCO2=extEmissionperkmimesextDistancetravelled(km) ext{Mass of } CO2 = ext{Emission per km} imes ext{Distance travelled (km)}

Substituting the values:

extMassofCO2=143extg/kmimes8extkm=1144extg ext{Mass of } CO2 = 143 ext{ g/km} imes 8 ext{ km} = 1144 ext{ g}

Step 2

Calculate the number of moles of CO2

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Answer

The number of moles of CO2 can be calculated using the formula:

ext{Moles of } CO2 = rac{ ext{Mass of } CO2}{ ext{Molar mass of } CO2}

The molar mass of CO2 is approximately 44 g/mol. Therefore:

ext{Moles of } CO2 = rac{1144 ext{ g}}{44 ext{ g/mol}} ext{ } = 26 ext{ moles}

Step 3

Calculate the volume of CO2 at room temperature and pressure

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Answer

At room temperature and pressure (RTP), one mole of gas occupies approximately 24 liters. Thus, the volume of CO2 produced is:

extVolumeofCO2=extMolesofCO2imes24extL/mol ext{Volume of } CO2 = ext{Moles of } CO2 imes 24 ext{ L/mol}

Calculating this gives:

extVolumeofCO2=26extmolesimes24extL/mol=624extL ext{Volume of } CO2 = 26 ext{ moles} imes 24 ext{ L/mol} = 624 ext{ L}

Step 4

Calculate the additional litres of CO2 for the SUV

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Answer

For the large SUV with a CO2 emission rating of 264 g/km:

First, calculate the mass of CO2:

extMassofCO2=264extg/kmimes8extkm=2112extg ext{Mass of } CO2 = 264 ext{ g/km} imes 8 ext{ km} = 2112 ext{ g}

Likewise, calculate the number of moles:

ext{Moles of } CO2 = rac{2112 ext{ g}}{44 ext{ g/mol}} = 48 ext{ moles}

Now, the volume of CO2 produced by the SUV:

extVolumeofCO2=48extmolesimes24extL/mol=1152extL ext{Volume of } CO2 = 48 ext{ moles} imes 24 ext{ L/mol} = 1152 ext{ L}

Finally, the additional volume of CO2 produced by the SUV compared to the diesel car:

extAdditionalVolume=1152extL624extL=528extL ext{Additional Volume} = 1152 ext{ L} - 624 ext{ L} = 528 ext{ L}

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