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How many of these properties are intensi...

How many of these properties are intensive here Temperature, Refractive index, density, enthalpy, entropy, molar heat capacity, Gibb's free energy, pH.

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To determine how many of the given properties are intensive, we first need to understand the definitions of intensive and extensive properties. ### Step-by-Step Solution: 1. **Define Intensive and Extensive Properties**: - **Intensive Properties**: These properties do not depend on the amount of substance present. They are inherent to the material itself. Examples include temperature, refractive index, density, and pH. - **Extensive Properties**: These properties depend on the amount of substance present. Examples include enthalpy, entropy, and Gibbs free energy. 2. **Analyze Each Property**: - **Temperature**: This is an intensive property because it does not change with the amount of substance. - **Refractive Index**: This is also an intensive property as it is a ratio and does not depend on the amount of the substance. - **Density**: Density is defined as mass per unit volume (mass/volume), making it an intensive property since it is a ratio. - **Enthalpy**: This is an extensive property because it depends on the amount of substance present. - **Entropy**: Like enthalpy, entropy is also an extensive property as it depends on the amount of substance. - **Molar Heat Capacity**: This is considered an intensive property because it is defined per mole of substance, making it independent of the total amount. - **Gibbs Free Energy**: This is an extensive property since it depends on the amount of substance. - **pH**: pH is an intensive property because it is a measure of the concentration of hydrogen ions, which does not depend on the amount of the substance. 3. **Count the Intensive Properties**: - From the analysis, we find the following intensive properties: - Temperature - Refractive Index - Density - Molar Heat Capacity - pH - Total: 5 intensive properties. ### Final Answer: There are **5 intensive properties** among the given options.
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