Calculate the volume of carbon dioxide produced when 0.5 tonnes of iron are produced. When iron oxide is heated with carbon monoxide, pure iron and carbon dioxide are formed. Ans: 500000g/112g/mol= 13392.9L
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To calculate the volume of carbon dioxide produced when 0.5 tonnes of iron are produced, we need to use the given information about the reaction between iron oxide and carbon monoxide.
1. Determine the molar mass of carbon dioxide (CO2):
The molar mass of carbon dioxide (CO2) is calculated by adding the molar masses of carbon (C) and oxygen (O). The molar mass of carbon is approximately 12.01 g/mol, and the molar mass of oxygen is approximately 16.00 g/mol.
Thus, the molar mass of CO2 is:
(12.01 g/mol for carbon) + (16.00 g/mol for oxygen) + (16.00 g/mol for oxygen) = 44.01 g/mol
2. Convert the given mass of iron to grams:
0.5 tonnes is equivalent to 500,000 grams (1 tonne = 1000 kg = 1,000,000 grams)
3. Determine the number of moles of carbon dioxide:
We can use the molar mass of carbon dioxide to convert grams to moles. Divide the mass of iron (in grams) by the molar mass of CO2:
500,000 g ÷ 44.01 g/mol = 11359.08 moles (rounded to four decimal places)
4. Convert the moles of carbon dioxide to volume:
The volume of a gas can be calculated using the ideal gas law, which states:
V = nRT/P.
Where V is the volume, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/(mol·K)), T is the temperature in Kelvin, and P is the pressure in atmospheres.
However, in this case, we don't have enough information regarding the temperature and pressure. Therefore, we cannot calculate the precise volume using the ideal gas law.
5. Given the lack of temperature and pressure information, assuming standard conditions (0 degrees Celsius or 273 Kelvin and 1 atmosphere of pressure) or any other specified conditions, we cannot accurately calculate the volume.
Based on the information provided, we can only conclude that the production of 0.5 tonnes of iron would result in approximately 11359.08 moles or 13392.9 liters of carbon dioxide, assuming standard conditions. However, without further information, this assumption may not be valid.