Lysozmyne is an enzyme that breks bacterial cell walls. A solution containing 0.150g of this enzyme in 210ml of solution has an osmotic pressure of 0.217kPa at 25*C. What is the molar mass of Lysozmyne?
I cant find the chemical formula anywhere. I have used the osmotice pressure eq to get M=5.1*10^-5, but where do i go from there?
I couldn't find the formula either; however, that's what the problem is asking you to do.
pi = MRT
pi = 0.217 kPa x (1 atm/101.325 kPa) = ??
R = 0.08206
T = 298 K
I get something like 9 x 10^-5 M.
Then moles = M x L
moles = about 9 x 10^-5 x 0.210 L = xx
molar mass = grams/moles = 0.150/xx moles.
I get something like 8,000 for a molar mass. I did find a formula one place that gave C15H20O4 BUT no mention if this was a molecular formula or an empirical formula.
i thought pi was 0.217?
the answer in the text is 1.39*10^4g
pi is given in the problem as 0.217 kPa. I converted that to atm so I could use 0.08206 L*atm/mol*K for R. If you wish to use 0.217 kPa, then you must use 8.314 for R. In any event, you obtain 8.758 x 10^-5 M. How did you get 5.1 x 10^-5 M
To determine the molar mass of Lysozyme, we need to use the given information and some additional calculations.
Let's start by rearranging the formula for osmotic pressure (π):
π = MRT
Where:
π = osmotic pressure
M = molarity (in mol/L)
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature in Kelvin (25°C = 298 K)
We can rearrange this equation to solve for molarity (M):
M = π / (RT)
Substituting the given values:
π = 0.217 kPa = 0.217 * 10^3 atm
R = 0.0821 L·atm/(mol·K)
T = 298 K
M = (0.217 * 10^3 atm) / (0.0821 L·atm/(mol·K) * 298 K)
M = 8.7716 mol/L
However, we need to convert the volume of the solution from mL to L to match the units of Molarity. There are 1000 mL in 1 L, so:
Volume = 210 mL = 210 mL / 1000 mL/L
Volume = 0.21 L
Now, we can calculate the number of moles (n) of Lysozyme present in the solution:
n = M * Volume
n = 8.7716 mol/L * 0.21 L
n = 1.842 mol
Finally, we can calculate the molar mass (Molar mass = Mass / Moles):
Mass = 0.150 g
Molar mass = Mass / Moles
Molar mass = 0.150 g / 1.842 mol
Molar mass ≈ 0.0815 g/mol
Therefore, the approximate molar mass of Lysozyme is 0.0815 g/mol.
Please note that the calculated molar mass is approximate, as we have used rounded values in the calculations.