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Order of increasing of entropy ammong gi...

Order of increasing of entropy ammong given condition of substance is :
`(I) 1`mole of `H_(2)O(I)` at `298 K` and `0.101 M `pa
`(II) 1` mole of ice at `273` K and `0.101` M Pa
`(III) 1` mole of `H_(2)(g)` at `298` K and `1`atm
`(IV) 1` mole of `C_(2)H_(6)(g)` at `398` K abd `1` atm

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To determine the order of increasing entropy among the given conditions of substances, we need to analyze the states of matter and the temperature conditions provided in the question. Here’s a step-by-step solution: ### Step 1: Identify the states of matter and their mobility - **(I) 1 mole of H₂O (l) at 298 K and 0.101 MPa**: This is liquid water. Liquids have moderate mobility compared to solids but less than gases. - **(II) 1 mole of ice at 273 K and 0.101 MPa**: This is solid ice. Solids have the least mobility and therefore the lowest entropy. - **(III) 1 mole of H₂ (g) at 298 K and 1 atm**: This is hydrogen gas. Gases have high mobility and thus higher entropy. - **(IV) 1 mole of C₂H₆ (g) at 398 K and 1 atm**: This is ethane gas. It is also a gas, but at a higher temperature than hydrogen, which means it has even greater entropy. ### Step 2: Compare the entropy based on mobility and temperature - **Entropy of solids**: The entropy of solid ice (II) is the lowest because solids have fixed positions and limited mobility. - **Entropy of liquids**: The entropy of liquid water (I) is higher than that of ice because liquids have more freedom of movement. - **Entropy of gases**: The entropy of hydrogen gas (III) is higher than that of liquid water due to the high mobility of gas molecules. - **Higher temperature gas**: The entropy of ethane gas (IV) is the highest because it is a gas at a higher temperature, which increases its molecular motion and thus its entropy. ### Step 3: Arrange the substances in order of increasing entropy Based on the analysis: 1. **(II) 1 mole of ice** - lowest entropy (solid) 2. **(I) 1 mole of H₂O (l)** - moderate entropy (liquid) 3. **(III) 1 mole of H₂ (g)** - higher entropy (gas) 4. **(IV) 1 mole of C₂H₆ (g)** - highest entropy (gas at higher temperature) ### Final Order of Increasing Entropy The order of increasing entropy among the given conditions is: **(II) < (I) < (III) < (IV)**
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