Questions: osmotic pressure exerted by a solution is equal to the molarity multiplied by the absolute temperature and the gas constant R. Suppose the osmotic pressure of a certain solution is measured to be 23 atm at an absolute temperature of 338 K. Write an equation that will let you calculate the molarity c of this solution. Your equation should contain only symbols. Be sure you define each symbol other than R.

Solution Steps

The formula for osmotic pressure (\( \Pi \)) is given by: \[ \Pi = cRT \] where:

• \( \Pi \) is the osmotic pressure,
• \( c \) is the molarity,
• \( R \) is the gas constant,
• \( T \) is the absolute temperature.

To find the molarity (\( c \)), rearrange the formula: \[ c = \frac{\Pi}{RT} \]

Define the symbols used in the equation:

• \( \Pi = 23 \, \mathrm{atm} \) (osmotic pressure),
• \( T = 338 \, \mathrm{K} \) (absolute temperature).

Substitute the symbols into the rearranged formula: \[ c = \frac{23 \, \mathrm{atm}}{R \times 338 \, \mathrm{K}} \]

Final Answer