What is the osmotic pressure in atmospheres of a 15%(m/v) sucrose solution at a temperature of 25 degrees celcius

Is the answer 10.7 ATM

yes

To calculate the osmotic pressure of a solution, you can use the formula:

Osmotic Pressure (π) = mRT / V

Where:
- π is the osmotic pressure
- m is the molality of the solute (in this case, sucrose)
- R is the ideal gas constant (0.0821 L.atm/mol.K)
- T is the temperature in Kelvin (25°C = 298 K)
- V is the molar volume of the solvent (water), which is assumed to be 1 L

First, you need to convert the given concentration of the sucrose solution from mass/volume percent (m/v) to molality (m).

To convert a mass/volume percent (m/v) solution to molality (m), you need to know the density of the solution. For sucrose solutions, the density is typically close to 1 g/mL. However, if you have a specific density value, please use that instead.

The conversion to molality can be done as follows:

1. Calculate the mass of the sucrose in grams by multiplying the given volume percentage (15%) by the density of the solution (in g/mL).
Mass of sucrose = (15 g/100 mL) x (density)

2. Convert the mass of sucrose to moles by dividing by the molar mass of sucrose.
Moles of sucrose = Mass of sucrose (g) / Molar mass of sucrose (g/mol)

3. Calculate the solvent (water) mass in kilograms by dividing the initial volume of the solution (100 mL) by 1000.
Mass of water = 100 mL / 1000 = 0.1 kg

4. Calculate the molality (m) by dividing the moles of sucrose by the mass of water.
Molality (m) = Moles of sucrose / Mass of water

Once you have the molality (m) value, you can substitute the values into the osmotic pressure formula:

Osmotic Pressure (π) = mRT / V

Substitute the values:
- m: molality of the sucrose solution
- R: ideal gas constant
- T: temperature in Kelvin (25°C = 298 K)
- V: molar volume of the solvent (water) = 1 L

Finally, calculate and convert the osmotic pressure to atmospheres:

Osmotic Pressure (π) in atmospheres = Osmotic Pressure (π) / 1 atm

Note: Remember to double-check the density value of the sucrose solution used for the conversion.