6.21g of ethylene glycol is dissolved in 250.0g of water.calculate x,m and weight%. what will it be the solution
To calculate the mole fraction (x), molarity (m), and weight percent of a solution of ethylene glycol and water, we need to know the number of moles of ethylene glycol and the number of moles of water.
First, let's calculate the number of moles of ethylene glycol and water using their respective molar masses:
Molar mass of ethylene glycol (C2H6O2) = 2(12.01 g/mol) + 6(1.01 g/mol) + 2(16.00 g/mol) = 62.07 g/mol
Number of moles of ethylene glycol (n) = mass / molar mass = 6.21 g / 62.07 g/mol = 0.1 mol
Since we have the mass of water, we can directly calculate its moles:
Number of moles of water (n) = mass / molar mass = 250.0 g / 18.02 g/mol = 13.87 mol
Now, we can calculate the mole fraction (x) using the following formula:
Mole fraction (x) = moles of component / total moles
Mole fraction of ethylene glycol = moles of ethylene glycol / (moles of ethylene glycol + moles of water)
= 0.1 mol / (0.1 mol + 13.87 mol)
= 0.007 mol
Mole fraction of water = moles of water / (moles of ethylene glycol + moles of water)
= 13.87 mol / (0.1 mol + 13.87 mol)
= 0.993 mol
Next, let's calculate the molarity (m) of the ethylene glycol in the solution.
Molarity (m) = moles of solute / volume of solution (in liters)
We need to convert the mass of water to volume using its density:
Density of water = 1 g/cm^3
Volume of water = mass of water / density of water
= 250.0 g / 1 g/cm^3
= 250.0 cm^3
= 0.250 L
Molarity of ethylene glycol = moles of ethylene glycol / volume of solution
= 0.1 mol / 0.250 L
= 0.4 mol/L
Lastly, we can calculate the weight percent of ethylene glycol in the solution.
Weight percent (%) = (mass of component / mass of solution) * 100
Mass of ethylene glycol = 6.21 g
Mass of water = 250.0 g
Weight percent of ethylene glycol = (mass of ethylene glycol / (mass of ethylene glycol + mass of water)) * 100
= (6.21 g / (6.21 g + 250.0 g)) * 100
= 2.42%
Therefore, the solution contains a mole fraction of 0.007 for ethylene glycol, a molarity of 0.4 mol/L for ethylene glycol, and a weight percent of 2.42%.