115 A rocket can be powered by the reaction between dinitro- gen tetroxide and hydrazine: N₂O₁ (1) + 2N₂H₁ (1)→→→→3N₂ (g) + 4H₂O(g) An engineer designed the rocket to hold 1.00 kg N₂O4 and excess N₂H4. How many g of N₂ would be produced according to the engineer's design? 116 A 4.00-g sample of Fe3O4 reacts with O₂ to produce Fe₂O3: 4Fe3O₁ (s) + O₂(g)— 6Fe₂O₂ (s)

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4.119 If the % yield of nitrogen gas in Question 4.115 is 75.0%, what is the actual yield of nitrogen?

4.120 If the % yield of Fe₂O₃ in Question 4.116 is 90.0%, what is the actual yield of Fe₂O₃?
Transcribed Image Text:4.119 If the % yield of nitrogen gas in Question 4.115 is 75.0%, what is the actual yield of nitrogen? 4.120 If the % yield of Fe₂O₃ in Question 4.116 is 90.0%, what is the actual yield of Fe₂O₃?
**4.115** A rocket can be powered by the reaction between dinitrogen tetroxide and hydrazine:

\[ \text{N}_2\text{O}_4 (l) + 2\text{N}_2\text{H}_4 (l) \rightarrow 3\text{N}_2 (g) + 4\text{H}_2\text{O} (g) \]

An engineer designed the rocket to hold 1.00 kg \(\text{N}_2\text{O}_4\) and excess \(\text{N}_2\text{H}_4\). How many g of \(\text{N}_2\) would be produced according to the engineer’s design?

**4.116** A 4.00-g sample of \(\text{Fe}_3\text{O}_4\) reacts with \(\text{O}_2\) to produce \(\text{Fe}_2\text{O}_3\):

\[ 4\text{Fe}_3\text{O}_4 (s) + \text{O}_2 (g) \rightarrow 6\text{Fe}_2\text{O}_3 (s) \]

Determine the number of g of \(\text{Fe}_2\text{O}_3\) produced.
Transcribed Image Text:**4.115** A rocket can be powered by the reaction between dinitrogen tetroxide and hydrazine: \[ \text{N}_2\text{O}_4 (l) + 2\text{N}_2\text{H}_4 (l) \rightarrow 3\text{N}_2 (g) + 4\text{H}_2\text{O} (g) \] An engineer designed the rocket to hold 1.00 kg \(\text{N}_2\text{O}_4\) and excess \(\text{N}_2\text{H}_4\). How many g of \(\text{N}_2\) would be produced according to the engineer’s design? **4.116** A 4.00-g sample of \(\text{Fe}_3\text{O}_4\) reacts with \(\text{O}_2\) to produce \(\text{Fe}_2\text{O}_3\): \[ 4\text{Fe}_3\text{O}_4 (s) + \text{O}_2 (g) \rightarrow 6\text{Fe}_2\text{O}_3 (s) \] Determine the number of g of \(\text{Fe}_2\text{O}_3\) produced.
Expert Solution
Step 1

4.115) Given,

Nitrogen tetraoxide reacts with hydrazine to form nitrogen gas and water

N2O4(l) + 2N2H43N2 + 4H2O

Mass of N2O4 = 1 kg= 1000 g

Molar mass of nitrogen tetraoxide (N2O4) is = 92.011 g/mol

Molar mass of N2 is = 28.0134 g/mol

From the stiochiometry of the reaction one mole of nitrogen tetraoxide reacts with two moles of hydrazine to form three moles of nitrogen and four moles of water.

 1 mole of N2O4 forms = 3 moles of N2

92.011 g of N2O4 forms = 3×28.0134 g of N2

1 g of N2O4 forms=3×28.013492.011 of N2

1000 g of N2O4 forms=3×28.013492.011 ×1000g of N2

1000 g of N2O4 forms=913.4 g of N2

 

 

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