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Stoichiometry Involving Gases

Many chemical reactions involve gases. Section 9.5 gave several equations that relate the mass of a gas (in terms of moles) to its volume, temperature, and pressure. These relationships can be applied to stoichiometric problems involving gases.


Example:

What volume of carbon dioxide at 37°C (body temperature) and 740 torr is produced by the metabolism of 1.0 g ethyl alcohol (C2H5OH)? The balanced equation is:

Solution

To sove this problem find the number of moles of CO2 formed. Then use the ideal gas equation to convert from the number of moles of carbon dioxide to a volume;

Wanted

Liters (V) of CO2 at 37°C and 740 torr

Given

1.0 g C2H5OH

Conversion factors


1 mol C2H5OH = 46.1 g C2H5OH
1 mol of C2H5OH yields 2 mol CO2
37°C = 310 K

Arithmetic equation

Substiuting this value into the ideal gas equation gives:

Answer

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