Complete combustion of propane (C3H8).
How many grams of water are produced when 50 grams of propane are reacted with 101 liters of oxygen @STP? Please explain in deminsionsl analysis and how you type it in the calculator. Thanks c:
To determine the number of grams of water produced when 50 grams of propane (C3H8) reacts with 101 liters of oxygen (O2) at STP (Standard Temperature and Pressure), you can use dimensional analysis. Here's how to set up and solve the problem:
Step 1: Write and balance the chemical equation for the combustion of propane:
C3H8 + 5O2 → 3CO2 + 4H2O
This equation tells us that for every 1 mole of propane, 4 moles of water are produced.
Step 2: Convert the given mass of propane to moles. Use the molar mass of propane, which is 44.1 g/mol.
50 g C3H8 × (1 mol C3H8 / 44.1 g C3H8) = 1.135 moles C3H8
Step 3: Calculate the volume of oxygen at STP to moles using the ideal gas law. The molar volume at STP is 22.4 L/mol.
101 L O2 × (1 mol O2 / 22.4 L O2) = 4.5134 moles O2
Step 4: Determine the limiting reactant. Compare the moles of propane and oxygen to see which one is present in the smallest amount. In this case, propane is the limiting reactant because there are fewer moles of it compared to the moles of oxygen.
Step 5: Calculate the number of moles of water produced using the stoichiometry of the balanced equation. For every 1 mole of propane, 4 moles of water are produced.
1.135 moles C3H8 × (4 moles H2O / 1 mole C3H8) = 4.54 moles H2O
Step 6: Convert moles of water to grams using the molar mass of water, which is 18.015 g/mol.
4.54 moles H2O × (18.015 g H2O / 1 mol H2O) = 81.86 g H2O
Therefore, when 50 grams of propane reacts with 101 liters of oxygen at STP, approximately 81.86 grams of water are produced.
To type this into a calculator, you can keep track of the calculations step by step or use parentheses to simplify the equation. Here's an example of how you could input it into a calculator:
For Step 2: 50 / 44.1 = X
For Step 3: 101 / 22.4 = Y
For Step 5: X * 4 = Z
For Step 6: Z * 18.015 = Answer
Please note that the actual calculator steps may vary depending on the type of calculator you are using.
This is the same kind of problem I worked earlier (P and O2). The only difference is you must go through PV = nRT to solve for mols O2.
And how you type in the numbers? Do you understand that not all calculators look the same, punch the same, or work the same.