To find the molality of the solution, we first need to calculate the moles of naphthalene and the moles of benzene.
Moles of naphthalene (C10H8):
molecular weight of C10H8 = 128 g/mol
moles of C10H8 = mass of C10H8 / molecular weight of C10H8
moles of C10H8 = 18.5 g / 128 g/mol
moles of C10H8 = 0.1445 mol
Moles of benzene (C6H6):
molecular weight of C6H6 = 78 g/mol
moles of C6H6 = mass of C6H6 / molecular weight of C6H6
moles of C6H6 = 58.5 g / 78 g/mol
moles of C6H6 = 0.75 mol
Now, we can calculate the molality of the solution:
molality = moles of solute / mass of solvent (in kg)
mass of solvent = 58.5 g = 0.0585 kg
molality = 0.1445 mol / 0.0585 kg
molality = 2.471 mol/kg
Therefore, the molality of the solution containing 18.5 g of naphthalene (C10H8) in 58.5 g benzene (C6H6) is 2.471 mol/kg.
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To find the molality of the solution, we first need to calculate the moles of naphthalene and the moles of benzene.
Moles of naphthalene (C10H8):
molecular weight of C10H8 = 128 g/mol
moles of C10H8 = mass of C10H8 / molecular weight of C10H8
moles of C10H8 = 18.5 g / 128 g/mol
moles of C10H8 = 0.1445 mol
Moles of benzene (C6H6):
molecular weight of C6H6 = 78 g/mol
moles of C6H6 = mass of C6H6 / molecular weight of C6H6
moles of C6H6 = 58.5 g / 78 g/mol
moles of C6H6 = 0.75 mol
Now, we can calculate the molality of the solution:
molality = moles of solute / mass of solvent (in kg)
mass of solvent = 58.5 g = 0.0585 kg
molality = 0.1445 mol / 0.0585 kg
molality = 2.471 mol/kg
Therefore, the molality of the solution containing 18.5 g of naphthalene (C10H8) in 58.5 g benzene (C6H6) is 2.471 mol/kg.