Given that Kw for water is 2.4 x 10-14 at 37 °C, calculate the pH of a neutral aqueous solution at 37 °C, which is the normal human body temperature. pH = Is a pH = 7.00 solution acidic, basic, or neutral at 37 °C?

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**Educational Content on pH Calculation**

**Problem Statement:**

Given that \( K_w \) for water is \( 2.4 \times 10^{-14} \) at 37 °C, calculate the pH of a neutral aqueous solution at 37 °C, which is the normal human body temperature.

**Calculation:**

\[ \text{pH} = \]

**Question:**

Is a pH = 7.00 solution acidic, basic, or neutral at 37 °C?

- ○ acidic
- ○ basic
- ○ neutral

**Instruction:**

To determine the pH, use the formula for the water dissociation constant \( K_w \), which is the product of the hydrogen ion concentration \([H^+]\) and the hydroxide ion concentration \([OH^-]\) in water:

\[ K_w = [H^+][OH^-] \]

For a neutral solution at 37 °C, \([H^+]\) and \([OH^-]\) are equal, so:

\[ K_w = [H^+]^2 \]

Solve for \([H^+]\) and subsequently calculate the pH using the formula:

\[ \text{pH} = -\log([H^+]) \]

Once calculated, compare the pH value with 7.00 to determine if the solution is acidic, basic, or neutral under these conditions.
Transcribed Image Text:**Educational Content on pH Calculation** **Problem Statement:** Given that \( K_w \) for water is \( 2.4 \times 10^{-14} \) at 37 °C, calculate the pH of a neutral aqueous solution at 37 °C, which is the normal human body temperature. **Calculation:** \[ \text{pH} = \] **Question:** Is a pH = 7.00 solution acidic, basic, or neutral at 37 °C? - ○ acidic - ○ basic - ○ neutral **Instruction:** To determine the pH, use the formula for the water dissociation constant \( K_w \), which is the product of the hydrogen ion concentration \([H^+]\) and the hydroxide ion concentration \([OH^-]\) in water: \[ K_w = [H^+][OH^-] \] For a neutral solution at 37 °C, \([H^+]\) and \([OH^-]\) are equal, so: \[ K_w = [H^+]^2 \] Solve for \([H^+]\) and subsequently calculate the pH using the formula: \[ \text{pH} = -\log([H^+]) \] Once calculated, compare the pH value with 7.00 to determine if the solution is acidic, basic, or neutral under these conditions.
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