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Methanol can be used as a fuel, in a variety of different ways - Scottish Highers Chemistry - Question 7 - 2015

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Methanol can be used as a fuel, in a variety of different ways. (a) An increasingly common use for methanol is as an additive in petrol. Methanol has been tested a... show full transcript

Worked Solution & Example Answer:Methanol can be used as a fuel, in a variety of different ways - Scottish Highers Chemistry - Question 7 - 2015

Step 1

Calculate the volume of carbon dioxide released by combustion of 118 g of methanol.

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Answer

To find the volume of carbon dioxide produced from 118 g of methanol, we first need to convert the mass of methanol to moles. The molar mass of methanol (CH₃OH) is approximately 32 g/mol. Thus,

moles of methanol=118g32g/mol=3.69molCH3OH\text{moles of methanol} = \frac{118\,g}{32\,g/mol} = 3.69 \text{mol}\,CH_3OH

From the balanced equation, each 2 moles of methanol produces 2 moles of carbon dioxide. Hence, 3.69 moles of methanol will produce 3.69 moles of carbon dioxide. To find the volume of carbon dioxide produced, we use the molar volume:

Volume=moles×molarvolume=3.69mol×24L/mol=88.56L\text{Volume} = moles \times molar\, volume = 3.69\,mol \times 24\,L/mol = 88.56\,L

Step 2

Suggest why the student’s placing of the thermometer was incorrect.

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Answer

The thermometer should not touch the flame or be placed directly above it because this would cause inaccurate temperature readings. If the thermometer is too close to the flame, the temperature measured would be higher than the actual temperature of the water.

Step 3

State another variable that the student should have kept constant.

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Answer

The student should have kept the type of alcohol constant during the experiments, ensuring all trials used the same substance for accurate comparisons.

Step 4

Calculate the enthalpy of combustion, in kJ mol$^{-1}$, for methanol using the student’s results.

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Answer

To calculate the enthalpy of combustion, we use the formula:

q=mcΔTq = mc\Delta T

Here, the mass of water (m) is 100 g, the specific heat capacity (c) is 4.18 J/g °C, and the temperature rise (ΔT) is 23 °C. Therefore,

q=100imes4.18imes23=9614J=9.614kJq = 100 imes 4.18 imes 23 = 9614\, J = 9.614\, kJ

Since 1.07 g of methanol is used, we find moles of methanol as:

moles of methanol=1.07g32g/mol=0.0334molCH3OH\text{moles of methanol} = \frac{1.07\,g}{32\,g/mol} = 0.0334\, mol\, CH_3OH

Now, we can find the enthalpy change per mole:

Enthalpy change=9.614kJ0.0334mol=288kJ/mol\text{Enthalpy change} = \frac{9.614\,kJ}{0.0334\,mol} = -288\,kJ/mol

Step 5

Calculate the density, in g cm$^{-3}$, of methanol.

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Answer

To calculate the density of methanol, we use the formula:

Density=massvolume\text{Density} = \frac{\text{mass}}{\text{volume}}

Considering the given mass of alcohol as 19.98 g for a volume of 25.0 cm3^{3}:

Density=19.98g25.0cm3=0.799gcm3\text{Density} = \frac{19.98\,g}{25.0\,cm^3} = 0.799\,g\,cm^{-3}

Step 6

State why it is important for chemists to predict whether reactions in an industrial process are exothermic or endothermic.

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Answer

Knowing whether a reaction is exothermic or endothermic helps chemists in designing processes that are safe and efficient, as exothermic reactions can release energy that needs to be managed to prevent hazards, while endothermic reactions require energy input that must be controlled to optimize production.

Step 7

Calculate the enthalpy change, in kJ mol$^{-1}$, for the reaction of methanol with steam.

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Answer

Using bond enthalpies to calculate the enthalpy change requires summing the bond enthalpies of bonds broken and subtracting the bond enthalpies of bonds formed. Assuming the necessary values from the booklet, apply the calculation to arrive at the enthalpy change for the reaction: These values should give insight into the energy dynamics of the chemical reaction.

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