At room temperature, water is a liquid with a molar volume of 18 \(\mathrm{mL}\) . At \(105^{\circ} \mathrm{C}\) and 1 atm pressure, water is a gas and has a molar volume of over 30 \(\mathrm{L}\) . Explain the large difference in molar volumes.

Short Answer

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The large difference in molar volumes of water at room temperature (liquid state) and at 105°C and 1 atm pressure (gaseous state) can be explained by the changes in intermolecular forces during the phase transition. In its liquid state, water molecules are held closely together by hydrogen bonding, resulting in a smaller molar volume (18 mL). When the temperature is raised and water becomes a gas, hydrogen bonding is no longer effective, causing the water molecules to be much more dispersed and leading to a significantly larger molar volume (over 30 L). The increase in kinetic energy and the breaking of intermolecular forces result in a much larger separation between molecules in the gaseous state compared to the liquid state.

Step by step solution

01

At room temperature, water is normally found in the liquid state. This is because the kinetic energy of water molecules is not enough to overcome the intermolecular forces holding them together, which in the case of water are mainly hydrogen bonds. In this state, the molecules are relatively close together, which results in a smaller molar volume. At 105 °C and 1 atm pressure, water exists as a gas. In this state, the kinetic energy of the water molecules is high enough to overcome the intermolecular forces, and the molecules are now much further apart from each other. This results in a significantly larger molar volume. #Step 2: Intermolecular forces in water#

In water, the primary intermolecular force is hydrogen bonding. Hydrogen bonding is a type of dipole-dipole interaction that occurs between molecules with a hydrogen atom bonded to a highly electronegative atom such as oxygen. The difference in electronegativity between hydrogen and oxygen creates a polar bond, leading to a partial positive charge on the hydrogen atom and a partial negative charge on the oxygen atom. This results in attraction between the positively charged hydrogen atoms and the negatively charged oxygen atoms in neighboring molecules. #Step 3: Phase transitions#
02

When we raise the temperature of water from room temperature to 105 °C, we are increasing the kinetic energy of the water molecules. At a certain point, the kinetic energy becomes high enough to overcome the intermolecular forces holding the molecules together, resulting in a phase transition from liquid to gas. This phase transition is known as boiling, and it occurs at 100 °C and 1 atm pressure for pure water. However, since we are asked about water at 105 °C and 1 atm pressure, it is safe to assume the transition has already occurred and the water is in its gaseous state. #Step 4: Explaining the molar volume difference#

The reason for the large difference in molar volumes between the liquid and gaseous states of water is due to the changes in intermolecular forces during the phase transition. When water is in its liquid state, the hydrogen bonding between molecules keeps them relatively close together, resulting in a smaller molar volume (18 mL). When the water undergoes a phase transition to become a gas, the hydrogen bonding is no longer effective in holding the molecules together, and they become much more dispersed, leading to a significantly larger molar volume (over 30 L). The increase in kinetic energy and the breaking of intermolecular forces result in a much larger separation between molecules in the gaseous state compared to the liquid state.

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