Calculate the volume of carbon dioxide formed at room temperature and pressure when 12.6g of NaHCO, is heated using the following steps:determine the mass of one mole of NaHCO,gcalculate the number of moles of NaHCO, usedmolesdetermine the number of moles of carbon dioxide formedmolescalculate the volume of carbon dioxide formed at room temperature and pressure.
Question
Calculate the volume of carbon dioxide formed at room temperature and pressure when 12.6g of NaHCO, is heated using the following steps:determine the mass of one mole of NaHCO,gcalculate the number of moles of NaHCO, usedmolesdetermine the number of moles of carbon dioxide formedmolescalculate the volume of carbon dioxide formed at room temperature and pressure.
Solution
Sure, here are the steps to calculate the volume of carbon dioxide formed:
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Determine the mass of one mole of NaHCO3: The molar mass of NaHCO3 (Sodium bicarbonate) is calculated as follows: Na = 23 g/mol, H = 1 g/mol, C = 12 g/mol, O = 16 g/mol, and there are 3 O atoms. So, the molar mass of NaHCO3 = 23 + 1 + 12 + (3*16) = 84 g/mol.
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Calculate the number of moles of NaHCO3 used: The number of moles is calculated by dividing the mass of the substance by its molar mass. So, the number of moles of NaHCO3 = 12.6 g / 84 g/mol = 0.15 mol.
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Determine the number of moles of carbon dioxide formed: The balanced chemical equation for the reaction is: 2NaHCO3 -> Na2CO3 + H2O + CO2. From this equation, we can see that 2 moles of NaHCO3 produce 1 mole of CO2. So, the number of moles of CO2 = 0.15 mol / 2 = 0.075 mol.
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Calculate the volume of carbon dioxide formed at room temperature and pressure: At room temperature and pressure (RTP), 1 mole of any gas occupies 24 liters. So, the volume of CO2 = 0.075 mol * 24 L/mol = 1.8 L.
Therefore, the volume of carbon dioxide formed at room temperature and pressure when 12.6g of NaHCO3 is heated is 1.8 liters.
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