alleryStart learning →In N2 + 3 H2 gives 2 NH3, what volume of hydrogen at the same conditions makes 683 billion cubic feet of ammonia?
A455 billion cubic feet
B683 billion cubic feet
C1020 billion cubic feet
D2050 billion cubic feet
Answer & Solution
Correct answer: C. 1020 billion cubic feet
1. All volumes are measured at 25 degrees C and 1 atm, so the coefficients give the volume ratios directly.
2. Three molecules of hydrogen produce two molecules of ammonia, a ratio of 3 to 2.
3. Multiply the ammonia volume by that ratio: 683 x 3 / 2.
4. The numerator is 2049, and dividing by 2 gives 1024.5.
5. Rounded, that is about 1020 billion cubic feet of hydrogen.
6. Inverting the ratio to 2 over 3 gives 455 billion cubic feet, which is the trap for anyone who writes the fraction upside down.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 9 "Gases", section 9.3 Stoichiometry of Gaseous Substances, Mixtures, and Reactions_
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