Respuesta :
Explanation:
The given data is as follows.
Height = 5.6 cm = [tex]5.6 cm \times \frac{0.01 m}{1 cm}[/tex] = 0.056, density = 1.0 g/ml, g = 9.8 m/s
As it is known that pressure is equal to height times density times acceleration due to gravity.
Mathematically, P = [tex]h \times d \times g[/tex]
Now, putting the given values as follows.
P = [tex]h \times d \times g[/tex]
= [tex]0.056 m \times 1.0 g/cm^{3} \times 10^{3}cm^{3} \times 9.8 m/s[/tex]
= 548.8 Pa
As 1 pascal equals 101325 atm. Hence, converting the given pressure into atmosphere as follows.
[tex]\frac{548.8}{101325}[/tex] atm
= [tex]5.4 \times 10^{-3} atm[/tex]
As the effect of concentration on osmotic pressure is as follows.
PV = inRT
or, P = [tex]i \frac{n}{V}RT[/tex]
P = iMRT
where, M = molarity
R = gas constant = 0.0821 [tex]atm L/mol K[/tex]
T = 298 K
i = 1 (for non-electrolyte)
Hence, calculate the molarity as follows.
P = iMRT
[tex]5.4 \times 10^{-3} atm[/tex] = [tex]1 \times M \times 0.082 L atm/mol K \times 298 K[/tex]
= [tex]2.25 \times 10^{-4}[/tex]
Also, Molarity = [tex]\frac{weight}{\text{molar mass}} \times \frac{1000}{V}[/tex]
[tex]2.25 \times 10^{-4}[/tex] = [tex]\frac{0.5}{\text{molar mass}} \times \frac{1000}{100}[/tex]
= 22585.6 g/mol
Thus, we can conclude that molecular mass of the unknown is 22585.6 g/mol.
Answer:
The molecular mass of the unknown is 22655.18 g/mol
Explanation:
Please look at the solution in the attached Word file
