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How many grams of NO are formed if 6.30g of ammonia react with 1.80g of oxygen?
0.37g
0.045
1.35g
11.19"
4NH_(3)+5O_(2)-gt 4NO+6H_(2)O How many grams of NO are formed if 6.30g of ammonia react with 1.80g of oxygen? 0.37g 0.045 1.35g 11.19
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To determine how many grams of NO are formed when 6.30g of ammonia react with 1.80g of oxygen, we need to follow these steps:<br /><br />1. Calculate the molar masses of the reactants and products.<br />2. Convert the masses of the reactants to moles.<br />3. Determine the limiting reactant.<br />4. Use stoichiometry to find the mass of NO produced.<br /><br />### Step 1: Calculate Molar Masses<br /><br />- \( NH_3 \): \( 14.01 + 3 \times 1.01 = 17.04 \) g/mol<br />- \( O_2 \): \( 2 \times 16.00 = 32.00 \) g/mol<br />- \( NO \): \( 14.01 + 16.00 = 30.01 \) g/mol<br /><br />### Step 2: Convert Masses to Moles<br /><br />- Moles of \( NH_3 \): \( \frac{6.30 \text{ g}}{17.04 \text{ g/mol}} = 0.370 \text{ mol} \)<br />- Moles of \( O_2 \): \( \frac{1.80 \text{ g}}{32.00 \text{ g/mol}} = 0.05625 \text{ mol} \)<br /><br />### Step 3: Determine the Limiting Reactant<br /><br />The balanced equation is:<br />\[ 4NH_3 + 5O_2 \rightarrow 4NO + 6H_2O \]<br /><br />From the stoichiometry of the reaction:<br />- 4 moles of \( NH_3 \) react with 5 moles of \( O_2 \).<br />- Therefore, 1 mole of \( NH_3 \) reacts with \( \frac{5}{4} \) moles of \( O_2 \).<br /><br />Calculate the required moles of \( O_2 \) for the given moles of \( NH_3 \):<br />\[ 0.370 \text{ mol } NH_3 \times \frac{5}{4} = 0.4625 \text{ mol } O_2 \]<br /><br />Since we only have 0.05625 moles of \( O_2 \), \( O_2 \) is the limiting reactant.<br /><br />### Step 4: Use Stoichiometry to Find the Mass of NO Produced<br /><br />Using the limiting reactant (\( O_2 \)):<br />- According to the balanced equation, 5 moles of \( O_2 \) produce 4 moles of \( NO \).<br />- Therefore, 0.05625 moles of \( O_2 \) will produce:<br />\[ 0.05625 \text{ mol } O_2 \times \frac{4 \text{ mol } NO}{5 \text{ mol } O_2} = 0.045 \text{ mol } NO \]<br /><br />Now, convert the moles of \( NO \) to grams:<br />\[ 0.045 \text{ mol } NO \times 30.01 \text{ g/mol} = 1.35 \text{ g } NO \]<br /><br />Therefore, the mass of NO formed is \( 1.35 \text{ g} \).<br /><br />The correct answer is:<br />\[ 1.35 \text{ g} \]
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