calculate the number of liters of liquid ethanol (density = 0.789g/ml) required to obtain a sample containing 1.00*10^25 C2H5OH molecules
this is just simple dimensional analysis and conversion...
(.0 X10^23 molecules)(1 mol/6.02 X10^23 molecules)([molar mass ethanol=g/1 mol)(upside down density=mL/g)(1L/1000mL)
through this conversion process, u'll get the answer.
1.0*10^25 WHAT C2H5OH?
To calculate the number of liters of liquid ethanol required to obtain a specific number of ethanol molecules, you need to consider both the density of ethanol and the molar mass of ethanol.
1. Determine the molar mass of ethanol (C2H5OH):
The molecular formula of ethanol is C2H5OH. To find the molar mass, add up the atomic masses of each element in the formula, considering the periodic table.
Molar mass of C2H5OH = (2 x Molar mass of C) + (6 x Molar mass of H) + Molar mass of O
From the periodic table, the molar masses are:
Molar mass of C = 12.01 g/mol
Molar mass of H = 1.01 g/mol
Molar mass of O = 16.00 g/mol
Calculating,
Molar mass of C2H5OH = (2 x 12.01 g/mol) + (6 x 1.01 g/mol) + 16.00 g/mol
2. Calculate the number of moles of ethanol:
To calculate the number of moles of ethanol, divide the given number of C2H5OH molecules by Avogadro's number. Avogadro's number is approximately 6.022 x 10^23 molecules/mol.
Number of moles = (Number of molecules) / (Avogadro's number)
Given: Number of molecules = 1.00 x 10^25 C2H5OH molecules
Number of moles = (1.00 x 10^25) / (6.022 x 10^23)
3. Calculate the mass of ethanol:
To calculate the mass of ethanol, multiply the number of moles of ethanol by the molar mass of ethanol.
Mass of ethanol = (Number of moles) x (Molar mass of C2H5OH)
4. Calculate the volume of ethanol:
To calculate the volume of ethanol, divide the mass of ethanol by its density.
Volume of ethanol = (Mass of ethanol) / (Density of ethanol)
Given: Density of ethanol = 0.789 g/mL
Volume of ethanol = (Mass of ethanol) / (0.789 g/mL)
Now, plug in the calculated values and solve the equation to find the volume of ethanol in liters.