Question

200 ml of an aqueous solution contains 18 g
of glucose. The osmotic pressure of the solution
at 27°C will be (Molar mass of glucose = 180 g
mol-1)


​

Answer 1

The osmotic pressure of the solution at 27°C will be 12.315 atm.

Explanation:

The volume of the aqueous solution, V = 200 ml = 0.2 L

Temperature, T = 27℃ = 27+273 = 300 K

Mass of glucose, m = 18 g

Molar mass of glucose = 180 g/mol

∴ No. of moles of glucose = 18/180 = 1/10 = 0.1 mol

The formula for calculating the osmotic pressure is given as,

π = c*R*T

where

c = concentration of the dissolved compound = n/V

R = Universal Gas Constant = 0.0821 L atm K⁻¹mol⁻¹

Now, substituting the given values in the formula, we get

π = [n/V]*R*T

⇒ π = [0.1/0.2] * 0.0821 * 300

⇒ π = 0.5 * 0.0821 * 300

⇒ π = 12.315 atm

Thus, the osmotic pressure of the solution is 12.315 atm .

-------------------------------------------------------------------------------------------

Also View:

How is Osmotic pressure of a solution related to its concentration?

https://brainly.in/question/10235676

PROVE THAT OSMOTIC PRESSURE IS A COLLIGATIVE PROPERTY . WHY THIS METHOD IS USED TO DETERMINE THE MOLAR MASS OF MACROMOLECULES

https://brainly.in/question/2704142

Answer 2

The osmotic pressure of the solution at 27 degree Celsius will be =12.315 atm

Explanation:

Volume of solution=200 ml=0.2 L

(1 L=1000mL)

Given mass of solute( glucose)=18 g

Temperature=T=27 degree Celsius=$27+273=300K$

Molar mass of glucose=180 g/mol

Number of moles of solute =$\frac{W_B}{M_B}$

Where $W_B$=Given mass of solute

$M_B$=Molar mass of solute

Number of moles of glucose=$\frac{18}{180}=0.1 mole$

We know that

$\pi =\frac{nRT}{V}$

Where $\pi$=Osmotic pressure

n=Number of moles  of solute

R=Universal gas constant =0.0821 L atm/kmol

T=Temperature

V=Volume of solution

Substitute the value in the formula then, we get

$\pi=\frac{0.0821\times 0.1\times 300}{0.2}=12.315 atm$

Hence, osmotic pressure of the solution=$\pi=12.315$

#Learn more:

https://brainly.in/question/1334728 , answer by Hasitha

https://brainly.com/question/5510226