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 19. atm at an absolute temperature of 386. 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. You Gation: Definitions of your symbols: = 19. atm = 386. K olo X E A S ? O olo A

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**Osmotic Pressure and Molarity Calculation**

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 19. \( \text{atm} \) at an absolute temperature of 386. \( \text{K} \).

**Problem Statement:**
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 \( R \).

**Definitions of Symbols:**

- \( \Pi = 19 \, \text{atm} \) (Osmotic Pressure)
- \( T = 386 \, \text{K} \) (Absolute Temperature)

**Equation:**
\[ \Pi = cRT \]

In this problem, you will need to rearrange the formula to solve for molarity \( c \):

\[ c = \frac{\Pi}{RT} \]

Inserting the given values:

\[ c = \frac{19 \, \text{atm}}{R \times 386 \, \text{K}} \]

This equation will allow you to calculate the molarity \( c \) of the solution. Note that you will need to know the value of the gas constant \( R \) to complete the calculation.
Transcribed Image Text:**Osmotic Pressure and Molarity Calculation** 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 19. \( \text{atm} \) at an absolute temperature of 386. \( \text{K} \). **Problem Statement:** 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 \( R \). **Definitions of Symbols:** - \( \Pi = 19 \, \text{atm} \) (Osmotic Pressure) - \( T = 386 \, \text{K} \) (Absolute Temperature) **Equation:** \[ \Pi = cRT \] In this problem, you will need to rearrange the formula to solve for molarity \( c \): \[ c = \frac{\Pi}{RT} \] Inserting the given values: \[ c = \frac{19 \, \text{atm}}{R \times 386 \, \text{K}} \] This equation will allow you to calculate the molarity \( c \) of the solution. Note that you will need to know the value of the gas constant \( R \) to complete the calculation.
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