Statement TypeThis section is based on Statement I and Statement II. S...
But, experimental value is 30.0 atm. This value is much higher than the theoretical value.
It is because (π = mRT) is valid for dilute solution.
Thus, both Statements I and II are correct and Statement II is the correct explanation of Statement I.
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Statement TypeThis section is based on Statement I and Statement II. S...
Statement I: Osmotic pressure of 34.2% sucrose solution at 300 K is 30.0 atm.
Statement II: π = MRT is valid for dilute solution.
The correct answer is option 'A', which states that both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I.
Explanation:
Statement I: Osmotic pressure of a solution is defined as the pressure required to prevent the flow of solvent molecules into the solution through a semipermeable membrane. It depends on the concentration of solute particles in the solution. In this case, the osmotic pressure of a 34.2% sucrose solution at 300 K is given as 30.0 atm.
Statement II: The equation π = MRT relates the osmotic pressure (π) of a solution to the concentration of solute particles (M), the gas constant (R), and the absolute temperature (T). This equation is derived from the ideal gas law and is valid for dilute solutions where the solute concentration is low.
In the given scenario, Statement II provides the correct explanation for Statement I. The osmotic pressure of a solution is directly proportional to the concentration of solute particles. This can be explained using the equation π = MRT, where an increase in the concentration of solute particles (M) leads to an increase in osmotic pressure (π), given that the temperature (T) and gas constant (R) remain constant.
Therefore, both Statement I and Statement II are correct, and Statement II is the correct explanation of Statement I. The osmotic pressure of a 34.2% sucrose solution at 300 K is 30.0 atm, and this can be explained by the relationship between osmotic pressure and solute concentration in dilute solutions.