Methanol burns in oxygen to make carbon dioxide and water. The equation is exothermic, with 1452kJ/mol. of energy being released.
(a)Write a balanced equation for the combustion of methanol.
-methanol+oxygen=carbon dioxide+water
-CH3OH+O2=CO2+H2O
(how do you balance it?)
?(b)State how much energy (in kJ) us released when 1 mole of methanol is burned.
?(c)Calculate the amount of heat energy released on burning 4 moles of methanol.
(d)What is the molar mass of methanol?(=32) Use the value to calculate the energy release when 4g of methanol is burned. (use n=m/Mr ?)
(e)Calculate the mass of carbon dioxide produced when 16g of methanol is used. (use n=m/Mr ?)
a)
2CH3OH + 3O2 ==> 2CO2 + 4H2O
b)The problem states 1452 kJ/mol
c,d,e are standard stoichiometry.
(a) To balance the equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.
The balanced equation for the combustion of methanol is:
2CH3OH + 3O2 -> 2CO2 + 4H2O
(b) The energy released when 1 mole of methanol is burned is given as 1452 kJ/mol.
(c) To calculate the amount of heat energy released when 4 moles of methanol is burned, we can use the stoichiometric coefficients from the balanced equation.
Since the balanced equation states that 2 moles of methanol produce 2 moles of CO2, we need to consider that the combustion of 4 moles of methanol would produce 4 moles of CO2.
Therefore, the amount of heat energy released when 4 moles of methanol is burned would be 4 times the energy released per mole, which is 4 * 1452 kJ = 5808 kJ.
(d) The molar mass of methanol is given as 32 g/mol.
To calculate the energy release when 4 g of methanol is burned, we can use the equation:
n = m/Mr
Where n is the number of moles, m is the mass in grams, and Mr is the molar mass.
For methanol, n = 4 g / 32 g/mol = 0.125 mol.
Therefore, the energy release when 4 g of methanol is burned would be 0.125 mol * 1452 kJ/mol = 181.5 kJ.
(e) To calculate the mass of carbon dioxide produced when 16 g of methanol is burned, we can use the equation:
n = m/Mr
Where n is the number of moles, m is the mass in grams, and Mr is the molar mass.
For methanol, n = 16 g / 32 g/mol = 0.5 mol.
Since the balanced equation states that 2 moles of methanol produce 2 moles of CO2, we need to consider that 0.5 mol of methanol would produce 0.5 mol of CO2.
Therefore, the mass of carbon dioxide produced when 16 g of methanol is used is 0.5 mol * 44 g/mol = 22 g.
(a) To balance the equation, we need to have the same number of atoms of each element on both sides of the equation.
The balanced equation for the combustion of methanol is:
2CH3OH + 3O2 → 2CO2 + 4H2O
(b) The given information states that 1452 kJ/mol of energy is released during the combustion of methanol. This means that for every 1 mole of methanol burned, 1452 kJ of energy is released.
(c) To calculate the amount of heat energy released when 4 moles of methanol are burned, we need to multiply the molar energy release (1452 kJ/mol) by the number of moles burned (4 moles):
Energy released = 1452 kJ/mol × 4 moles = 5808 kJ
(d) The molar mass of methanol (CH3OH) is given as 32 g/mol. To calculate the energy release when 4 g of methanol is burned, we first need to determine the number of moles of methanol burned using the formula n = m / Mr, where n is the number of moles, m is the mass, and Mr is the molar mass.
Number of moles = 4 g / 32 g/mol = 0.125 mol
Now we can calculate the energy release by multiplying the number of moles (0.125 mol) by the molar energy release (1452 kJ/mol):
Energy released = 1452 kJ/mol × 0.125 mol = 181.5 kJ
(e) To calculate the mass of carbon dioxide produced when 16 g of methanol is used, we first need to determine the number of moles of methanol burned using the formula n = m / Mr, where n is the number of moles, m is the mass, and Mr is the molar mass.
Number of moles of methanol = 16 g / 32 g/mol = 0.5 mol
From the balanced equation, we see that 2 moles of methanol produce 2 moles of carbon dioxide. Therefore, 0.5 moles of methanol will produce 0.5 moles of carbon dioxide.
To calculate the mass of carbon dioxide, we use the formula m = n × Mr, where m is the mass, n is the number of moles, and Mr is the molar mass.
Mass of carbon dioxide = 0.5 mol × 44 g/mol = 22 g