Respuesta :
Answer:
1.8321 kg
Explanation:
The given 1 kg of coal contains 50% of the carbon atom by mass. Thus, mass of carbon in coal is [tex]\frac {50}{100}\times 1\ kg=0.5\ kg[/tex]
Also, 1 kg = 1000 g
So, mass of carbon = 500 g
The formula for the calculation of moles is shown below:
[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]
Molar mass of carbon = 12.0107 g/mol
Moles of methanol = 500 g / 12.0107 g/mol = 41.6295 moles
Considering the reaction:
[tex]C+O_2\rightarrow CO_2[/tex]
From the reaction,
1 mole of C react to form 1 mole of [tex]CO_2[/tex]
So,
41.6295 moles of C react to form 41.6295 moles of [tex]CO_2[/tex]
Moles of [tex]CO_2[/tex] = 41.6295 moles
Molar mass of [tex]CO_2[/tex] = 44.01 g/mol
So, Mass = Moles × Molar mass = 41.6295 moles × 44.01 g/mol = 1832.1143 g
Also, 1g = 0.001 kg
So, amount of [tex]CO_2[/tex] released = 1.8321 kg
