Mole ratios Original Scenario-Based Download PDF

Questions

1. 1.

   To synthesize protective ceramic shielding on an orbital station, an automated fabrication reactor consumes diborane gas and oxygen gas according to the balanced equation $\text{B}_2\text{H}_6(g) + 3\text{O}_2(g) \rightarrow \text{B}_2\text{O}_3(s) + 3\text{H}_2\text{O}(g)$. During a high-output coating cycle, the system completely utilizes 12 moles of oxygen gas ($\text{O}_2$). Based on the stoichiometric mole ratio, how many moles of diborane ($\text{B}_2\text{H}_6$) are consumed in this reaction?

   • A) 36 moles
   • B) 24 moles
   • C) 6 moles
   • D) 4 moles
2. 2.

   Inside a submerged oceanic dome, an automated life-support generator recycles trapped anesthetic gas via catalytic decomposition according to the balanced equation $2\text{N}_2\text{O}(g) \rightarrow 2\text{N}_2(g) + \text{O}_2(g)$. During an emergency cycle, the system completely decomposes 16 moles of dinitrogen monoxide ($\text{N}_2\text{O}$). What is the total number of moles of gaseous products ($\text{N}_2$ and $\text{O}_2$ combined) released into the dome's atmosphere?

   • A) 24 moles
   • B) 16 moles
   • C) 8 moles
   • D) 48 moles
3. 3.

   To carve thermal conduits through subterranean abyssal rifts, an automated excavation walker combusts acetylene fuel according to the balanced reaction $2\text{C}_2\text{H}_2(g) + 5\text{O}_2(g) \rightarrow 4\text{CO}_2(g) + 2\text{H}_2\text{O}(g)$. During a deep-trench cutting phase, the unit's plasma torches fully consume 30 moles of oxygen gas ($\text{O}_2$). Assuming the reaction proceeds to completion, how many moles of carbon dioxide ($\text{CO}_2$) are produced?

   • A) 12 moles
   • B) 30 moles
   • C) 24 moles
   • D) 37.5 moles
4. 4.

   To power the propulsion thrusters of a subterranean exploration vessel traversing volcanic magma tunnels, engineers initiate the reduction of iron(III) oxide using carbon monoxide according to the balanced equation $\text{Fe}_2\text{O}_3(s) + 3\text{CO}(g) \rightarrow 2\text{Fe}(l) + 3\text{CO}_2(g)$. During a high-thrust maneuver, the reaction chamber discharges exactly 15 moles of carbon dioxide ($\text{CO}_2$). Assuming the reaction proceeds to completion, how many moles of iron(III) oxide ($\text{Fe}_2\text{O}_3$) were consumed?

   • A) 3 moles
   • B) 5 moles
   • C) 15 moles
   • D) 45 moles
5. 5.

   In the floating atmospheric research habitat of Zephyrus, life-support synthesizers generate fuel through the balanced reaction $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$. To produce exactly 18 moles of ammonia ($NH_3$), how many moles of hydrogen gas ($H_2$) must react completely according to the stoichiometric mole ratio?

   • A) 12 moles
   • B) 27 moles
   • C) 54 moles
   • D) 18 moles