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Which of the following is dependent on t...

Which of the following is dependent on temperature?

A

Molaity

B

Molarity

C

Mole fraction

D

Weight percentage

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following properties is dependent on temperature, we need to analyze each option provided: molality, molarity, mole fraction, and weight percentage. ### Step-by-Step Solution: 1. **Understanding the Properties**: - **Molarity (M)**: Defined as the number of moles of solute per liter of solution. - **Molality (m)**: Defined as the number of moles of solute per kilogram of solvent. - **Mole Fraction (χ)**: Defined as the number of moles of a component divided by the total number of moles of all components in the solution. - **Weight Percentage (w%)**: Defined as the mass of solute divided by the mass of solution, multiplied by 100. 2. **Analyzing Each Property**: - **Molality**: - Formula: \( m = \frac{\text{moles of solute}}{\text{mass of solvent (kg)}} \) - Both moles and mass are independent of temperature. Therefore, molality does not depend on temperature. - **Molarity**: - Formula: \( M = \frac{\text{moles of solute}}{\text{volume of solution (L)}} \) - Moles are independent of temperature, but volume changes with temperature. As temperature increases, volume typically increases, which affects molarity. Therefore, molarity is dependent on temperature. - **Mole Fraction**: - Formula: \( \chi_A = \frac{\text{moles of component A}}{\text{total moles}} \) - Since mole fraction is based on the number of moles, which is independent of temperature, mole fraction does not depend on temperature. - **Weight Percentage**: - Formula: \( w\% = \frac{\text{mass of solute}}{\text{mass of solution}} \times 100 \) - Both mass of solute and mass of solution are independent of temperature. Therefore, weight percentage does not depend on temperature. 3. **Conclusion**: - Among the options provided, only **molarity** is dependent on temperature. Thus, the correct answer is **molarity**. ### Final Answer: **Molarity is the property that is dependent on temperature.**

To determine which of the following properties is dependent on temperature, we need to analyze each option provided: molality, molarity, mole fraction, and weight percentage. ### Step-by-Step Solution: 1. **Understanding the Properties**: - **Molarity (M)**: Defined as the number of moles of solute per liter of solution. - **Molality (m)**: Defined as the number of moles of solute per kilogram of solvent. - **Mole Fraction (χ)**: Defined as the number of moles of a component divided by the total number of moles of all components in the solution. ...
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