36.5g of hcl are dissolved in 180g of h2o. what is the mole fraction of the solute
the solute is the HCl because it dissolved in water (a solvent). we have the mass so we can calculate the mole using m/Mr.
the mole of water is also m/Mr
the mole fraction is the mole of the solute divided by the total mole of the solution.
SO LIKE 36.5g/(180/18)=3.65?
calculate the mole of HCl using m/Mr
calculate the mole for water using the same formula
add to two moles to get the total mole of the solution.
divide the mole of HCl by the total mole to get your mole fraction.
To find the mole fraction of the solute (HCl), we need to know the number of moles of HCl and the number of moles of water (H2O) in the solution.
First, let's calculate the number of moles of HCl:
Molar mass of HCl = 1.008 g/mol (H) + 35.453 g/mol (Cl) = 36.461 g/mol
Number of moles of HCl = mass of HCl / molar mass of HCl
= 36.5 g / 36.461 g/mol
≈ 1.000 mol (rounded to three decimal places)
Next, let's calculate the number of moles of water:
Molar mass of H2O = 1.008 g/mol (H) + 1.008 g/mol (H) + 16.00 g/mol (O) = 18.016 g/mol
Number of moles of H2O = mass of H2O / molar mass of H2O
= 180 g / 18.016 g/mol
= 9.991 mol (rounded to three decimal places)
Now, we can calculate the mole fraction of the solute (HCl) using the formula:
Mole fraction = moles of HCl / (moles of HCl + moles of H2O)
Mole fraction = 1.000 mol / (1.000 mol + 9.991 mol)
= 1.000 mol / 10.991 mol
≈ 0.091 (rounded to three decimal places)
Therefore, the mole fraction of the solute (HCl) is approximately 0.091.