58.1k views
12 votes
Using the equation below, how many liters of water can be made from 7.6 L of oxygen gas at STP?

Using the equation below, how many liters of water can be made from 7.6 L of oxygen-example-1
User Saner
by
6.9k points

1 Answer

4 votes

Answer:

V = 15.2 L

Step-by-step explanation:

STP means that T = 273 K and P = 1 atm.

We use the PV=nRT equation to convert the given liters of oxygen to moles:

  • 1 atm * 7.6 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 273 K
  • n = 0.340 mol

Now we convert O₂ moles to H₂O moles, using the stoichiometric coefficients of the equation:

  • 0.340 mol O₂ *
    (2molH_2O)/(1molO_2) = 0.68 mol H₂O

Finally we use the PV=nRT equation once again to convert 0.68 moles of H₂O to liters:

  • 1 atm * V = 0.68 * 0.082 atm·L·mol⁻¹·K⁻¹ * 273 K
  • V = 15.2 L
User Brennan Casey
by
7.0k points