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A researcher places a reactant for decomposition in an expandable reaction chamber and purges the air from the vessel with nitrogen gas. The 500mL reaction vessel is sealed at a pressure of 1.00atm and 390K. If the decomposition reaction was triggered by an electrical shock, producing 3.1g of oxygen gas, what would the volume (L) of the reaction vessel be if the temperature and pressure were kept constant

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dsdrajlin

Answer:

3.1 L

Explanation:

Step 1: Given data

  • Pressure (P): 1.00 atm
  • Temperature (T): 390 K
  • Mass of oxygen (m): 3.1 g
  • Volume (V): ?

Step 2: Calculate the moles of oxygen

The molar mass of oxygen is 32.00 g/mol.

[tex]3.1g \times \frac{1mol}{32.00g} = 0.097mol[/tex]

Step 3: Calculate the volume of the container

We will use the ideal gas equation.

P × V = n × R × T

V = n × R × T / P

V = 0.097 mol × (0.0821 atm.L/mol.K) × 390 K / 1.00 atm

V = 3.1 L

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