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Calculation of Nitrogen Oxide Required to Produce 6.3 g HNO3
Step 1: Writing the Balanced Chemical Equation
The reaction between nitrogen dioxide and water to produce nitric acid can be represented by the following balanced chemical equation:
NO2 + H2O → HNO3
Step 2: Calculation of Molar Mass of HNO3
The molar mass of HNO3 can be calculated by adding the atomic masses of its constituent atoms, which are as follows:
H = 1.01 g/mol
N = 14.01 g/mol
O = 16.00 g/mol
Therefore, molar mass of HNO3 = 1.01 + 14.01 + (3 x 16.00) = 63.01 g/mol
Step 3: Calculation of Number of Moles of HNO3
Number of moles of HNO3 can be calculated by dividing the given mass of HNO3 (6.3 g) by its molar mass (63.01 g/mol):
Number of moles of HNO3 = 6.3 g / 63.01 g/mol = 0.1 mol
Step 4: Calculation of Number of Moles of NO2
From the balanced chemical equation, we can see that 1 mole of NO2 reacts with 1 mole of HNO3. Therefore, the number of moles of NO2 required to produce 0.1 mol of HNO3 is also 0.1 mol.
Step 5: Calculation of Mass of NO2
The molar mass of NO2 can be calculated by adding the atomic masses of its constituent atoms, which are as follows:
N = 14.01 g/mol
O = 16.00 g/mol (2 atoms)
Therefore, molar mass of NO2 = 14.01 + (2 x 16.00) = 46.01 g/mol
Mass of NO2 required can be calculated by multiplying the number of moles of NO2 (0.1 mol) with its molar mass (46.01 g/mol):
Mass of NO2 = 0.1 mol x 46.01 g/mol = 4.601 g
Therefore, 4.601 g of nitrogen oxide is required to produce 6.3 g of HNO3.