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QuestionCalculate the heat produced from the combustion of 125 g125 \mathrm{~g} of methanol at standard conditions without given heat of combustion.

Studdy Solution

STEP 1

Assumptions1. The mass of methanol combusted is125 g. The heat of combustion of methanol is not provided3. The molar mass of methanol (CH3OH) is approximately32.04 g/mol4. The standard heat of combustion of methanol is -726.5 kJ/mol

STEP 2

First, we need to find the number of moles of methanol combusted. We can do this by dividing the mass of methanol by its molar mass.
Moles of methanol=Mass of methanolMolar mass of methanolMoles\, of\, methanol = \frac{Mass\, of\, methanol}{Molar\, mass\, of\, methanol}

STEP 3

Now, plug in the given values for the mass of methanol and molar mass of methanol to calculate the number of moles.
Moles of methanol=125 g32.04 g/molMoles\, of\, methanol = \frac{125\, g}{32.04\, g/mol}

STEP 4

Calculate the number of moles of methanol.
Moles of methanol=125 g32.04 g/mol≈3.9 molMoles\, of\, methanol = \frac{125\, g}{32.04\, g/mol} \approx3.9\, mol

STEP 5

Now that we have the number of moles of methanol, we can find the total heat produced by the combustion. This can be done by multiplying the number of moles by the standard heat of combustion of methanol.
Heat produced=Moles of methanol×Standard heat of combustion of methanolHeat\, produced = Moles\, of\, methanol \times Standard\, heat\, of\, combustion\, of\, methanol

STEP 6

Plug in the values for the number of moles of methanol and the standard heat of combustion of methanol to calculate the heat produced.
Heat produced=3.9 mol×−726.5 kJ/molHeat\, produced =3.9\, mol \times -726.5\, kJ/mol

STEP 7

Calculate the heat produced by the combustion of methanol.
Heat produced=3.9 mol×−726.5 kJ/mol≈−2833.35 kJHeat\, produced =3.9\, mol \times -726.5\, kJ/mol \approx -2833.35\, kJThe heat produced by the combustion of125 g of methanol under standard state conditions is approximately -2833.35 kJ. The negative sign indicates that the reaction is exothermic, meaning it releases heat.

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