Mole ratios Original Scenario-Based Practice

Questions

1. 1.

   Deep within an asteroid mining colony, automated blast furnaces smelt iron ore to fabricate structural beams according to the balanced equation $\text{Fe}_2\text{O}_3(\text{s}) + 3\text{CO}(\text{g}) \rightarrow 2\text{Fe}(\text{s}) + 3\text{CO}_2(\text{g})$. If a smelting run is programmed to produce 8.40 moles of solid iron, what is the combined total number of moles of reactants ($\text{Fe}_2\text{O}_3$ and $\text{CO}$) consumed?

   • A) 16.80 moles
   • B) 12.60 moles
   • C) 4.20 moles
   • D) 11.20 moles
2. 2.

   Inside an abyssal biodome anchored near a hydrothermal vent, an automated bioreactor oxidizes ammonia gas to generate nitric oxide for deep-sea crop cultivation according to the balanced equation $4\text{NH}_3(\text{g}) + 5\text{O}_2(\text{g}) \rightarrow 4\text{NO}(\text{g}) + 6\text{H}_2\text{O}(\text{g})$. During a scheduled aeration cycle, the catalytic chamber completely consumes 16.0 moles of oxygen gas in the presence of excess ammonia. How many moles of ammonia are consumed during this reaction cycle?

   • A) 20.0 mol
   • B) 16.0 mol
   • C) 19.2 mol
   • D) 12.8 mol
3. 3.

   Aboard an atmospheric harvesting station floating in the clouds of Venus, chemical scrubbers recover sulfur and moisture by reacting hydrogen sulfide with sulfur dioxide according to the balanced equation $2\text{H}_2\text{S}(\text{g}) + \text{SO}_2(\text{g}) \rightarrow 3\text{S}(\text{s}) + 2\text{H}_2\text{O}(\text{g})$. If a catalytic cycle generates 12.6 moles of solid sulfur, how many moles of water vapor are produced simultaneously?

   • A) 8.4 moles
   • B) 18.9 moles
   • C) 12.6 moles
   • D) 6.3 moles
4. 4.

   In an orbital foundry orbiting Mars, automated kilns synthesize silicon carbide heat shields from quartz sand and powdered graphite according to the balanced equation $\text{SiO}_2(\text{s}) + 3\text{C}(\text{s}) \rightarrow \text{SiC}(\text{s}) + 2\text{CO}(\text{g})$. If a production cycle completely consumes 15.0 moles of carbon in the presence of excess silicon dioxide, how many moles of carbon monoxide gas are produced?

   • A) 10.0 moles
   • B) 22.5 moles
   • C) 30.0 moles
   • D) 5.0 moles
5. 5.

   Aboard a deep-space exploration vessel, life-support engineers react surplus hydrazine rocket fuel with dinitrogen tetroxide to recover water according to the balanced equation $2\text{N}_2\text{H}_4\text{(l)} + \text{N}_2\text{O}_4\text{(l)} \rightarrow 3\text{N}_2\text{(g)} + 4\text{H}_2\text{O}\text{(g)}$. If the recovery system must generate 18.0 moles of $\text{H}_2\text{O}$, how many moles of $\text{N}_2\text{H}_4$ are required to react completely in the presence of excess $\text{N}_2\text{O}_4$?

   • A) 36.0 moles
   • B) 13.5 moles
   • C) 9.00 moles
   • D) 4.50 moles

Answers and step-by-step solutions appear after you finish the test.