Rank the following in the order of increasing entropy `:`
(a) 1 mole of `H_(2)O(l)` at `25^(@)C` and 1 atm. Pressure.
(b) 2 moleof `H_(2)O(s)` at `0^(@)C` and 1 atm. Pressure.
(c ) 1 moleof `H_(2) O(v)` at `100^(@)C` and 1 atm. Pressure.
(d) 1 mole of `H_(2)O(l)` at `0^(@)C` and 1 atm. pressure.

Explanation

To rank the given substances in order of increasing entropy, we need to consider the states of matter and the effect of temperature on entropy. Entropy is a measure of the randomness or disorder of a system, and it generally increases as we move from solid to liquid to gas. Additionally, higher temperatures also contribute to higher entropy.

### Step-by-Step Solution:

1. **Identify the States of Matter**:
- (a) 1 mole of H₂O(l) at 25°C: This is a liquid.
- (b) 2 moles of H₂O(s) at 0°C: This is a solid.
- (c) 1 mole of H₂O(v) at 100°C: This is a gas (vapor).
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