What is the percentage of gas (C2H2) formed when 2.66g of calcium carbide (CaC2) reacts completely with 50g water?
Percent of gas? What is the basis?
There has to be more than one gas to say "percent of Gas is C2H2"
Percent of gas (C2H2 ) formed.
To determine the percentage of gas formed when calcium carbide reacts with water, we first need to calculate the moles of calcium carbide and water used in the reaction.
Step 1: Calculate the moles of calcium carbide (CaC2)
To calculate the moles, we use the formula:
moles = mass / molar mass
The molar mass of calcium carbide (CaC2) is calculated by adding the atomic masses of each element:
molar mass of CaC2 = atomic mass of Ca + 2 * atomic mass of C
= 40.08 g/mol + 2 * 12.01 g/mol
= 64.10 g/mol
Now we can calculate the moles of calcium carbide:
moles of CaC2 = 2.66 g / 64.10 g/mol
Step 2: Calculate the moles of water (H2O)
The molar mass of water (H2O) is the sum of the atomic masses of hydrogen and oxygen:
molar mass of H2O = 2 * atomic mass of H + atomic mass of O
= 2 * 1.01 g/mol + 16.00 g/mol
= 18.02 g/mol
Now we can calculate the moles of water:
moles of H2O = 50 g / 18.02 g/mol
Step 3: Determine the limiting reactant
The limiting reactant is the reactant that is completely used up in the reaction. We compare the moles of calcium carbide and water to determine which is the limiting reactant. The reactant with fewer moles is the limiting reactant.
Step 4: Calculate the moles of gas produced
The balanced chemical equation for the reaction between calcium carbide and water is:
CaC2 + 2H2O → C2H2 + Ca(OH)2
From the balanced equation, we can see that 1 mole of calcium carbide (CaC2) produces 1 mole of acetylene gas (C2H2). Therefore, the moles of gas formed will be equal to the moles of limiting reactant (CaC2).
Step 5: Calculate the mass of gas formed
The mass of gas formed can be calculated by using the formula:
mass = moles × molar mass
The molar mass of acetylene gas (C2H2) can be calculated by adding the atomic masses of carbon and hydrogen:
molar mass of C2H2 = 2 * atomic mass of C + 2 * atomic mass of H
= 2 * 12.01 g/mol + 2 * 1.01 g/mol
= 26.04 g/mol
Now we can calculate the mass of gas formed:
mass of C2H2 = moles of CaC2 × molar mass of C2H2
Step 6: Calculate the percentage of gas formed
The percentage can be calculated using the formula:
percentage = (mass of gas formed / total mass) × 100
Now we can calculate the percentage of gas formed:
percentage = (mass of C2H2 / (mass of CaC2 + mass of H2O)) × 100
By following these steps and plugging in the values, you can calculate the percentage of gas formed when 2.66g of calcium carbide reacts completely with 50g water.