Question

the 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 17. atm at an absolute temperature of 395. 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 ).

Explanation:

Step1: Recall the osmotic pressure formula

The formula for osmotic pressure ($\Pi$) is $\Pi = cRT$, where $\Pi$ is the osmotic pressure, $c$ is the molarity, $R$ is the gas constant, and $T$ is the absolute temperature.

Step2: Rearrange the formula to solve for $c$

We want to solve for $c$, so we divide both sides of the equation $\Pi = cRT$ by $RT$. This gives us $c=\frac{\Pi}{RT}$.

Step3: Define the symbols

• $\Pi$: osmotic pressure (given as 17 atm)
• $R$: gas constant (a constant value, not defined further here as per the problem's instruction to define symbols other than $R$)
• $T$: absolute temperature (given as 395 K)
• $c$: molarity (the quantity we want to calculate)

Answer:

The equation to calculate the molarity $c$ is $c = \frac{\Pi}{RT}$, where $\Pi$ is the osmotic pressure (17 atm), $T$ is the absolute temperature (395 K), and $R$ is the gas constant.