13.12
表面張力と表面エネルギー
ペイント ブラシを水に浸すと、水の中で毛が自由に波打ちます。 取り出すと毛がくっついてしまいます。 この効果の背後にある理由は表面張力です。
液体で満たされたビーカーを考えてみましょう。 液体中の界面分子は、周囲の分子とあらゆる面で等しい引力を受けます。 ただし、表面分子は界面分子により下向きの正味…
液体表面は引き伸ばされた膜のように振る舞うため、表面積が最小限に抑えられる傾向があります。この特性は表面張力と呼ばれます。
液体内の分子は、周囲の分子からすべての側面に等しく引力を受けます。しかし、表面分子は非対称的な力を受けます。
表面分子にかかる正味の内向きの力が分子を引き下げ、表面張力を引き起こします。
バルク分子を表面に向かって移動させ、表面分子の位置エネルギーを増加させる作業が行われます。この追加のエネルギーが表面エネルギーです。
スライドワイヤーを石鹸液に浸して、上部と下部の表面で気泡を形成するフレームを考えてみましょう。表面張力は摺動ワイヤーに対して垂直に内側に作用し、ワイヤーを外側に引っ張るには外力が必要です。この単位長さあたりの力が表面張力を与えます。
力がワイヤーを距離を引っ張って表面積を増やすと、表面エネルギーは行われた作業によって与えられます。これは、表面張力が単位表面積あたりの表面エネルギーとしても定義できることを示しています。
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Q1: Why do liquid surfaces behave like stretched membranes?
Surface molecules experience asymmetric attractive forces from surrounding bulk molecules, creating a net inward force. This pulls surface molecules downward, causing the liquid to minimize surface area. Bulk molecules, by contrast, experience equal forces on all sides. This asymmetry is the fundamental reason liquids behave like stretched membranes.
Q2: How is surface tension related to surface energy?
Surface tension is the force per unit length acting on a liquid surface, measured in N/m. Surface energy is the additional potential energy surface molecules possess due to their position. Surface tension can be defined as surface energy per unit surface area, expressed in J/m². Work done to increase surface area equals the product of surface tension and the area change.
Q3: Why do liquid drops form spherical shapes?
A sphere has the minimum surface area for any given volume. Since liquids minimize surface area due to surface tension, drops naturally adopt spherical shapes to reduce their potential energy. This geometric property explains why water droplets and bubbles appear round rather than irregular.
Q4: What causes a paint brush's bristles to stick together when removed from water?
Surface tension pulls the water film surrounding the bristles inward, drawing them together. When immersed, bristles move freely because water fills the space between them. Upon removal, the water surface contracts due to surface tension, causing the bristles to adhere to one another.
Q5: How can objects denser than water float on its surface?
Objects like needles can float on water because surface tension creates an inward force perpendicular to the liquid surface. This force acts like a stretched membrane, supporting objects that would otherwise sink. The surface behaves as an elastic barrier capable of supporting weight distributed over a small area.
Q6: What does the sliding wire experiment demonstrate about surface tension?
When a wire is dipped in soap solution, surface tension pulls it inward. External force is required to pull the wire outward against this inward pull. The force per unit length of wire gives the surface tension value. When the wire moves through a distance, the work done equals the surface energy gained from increased surface area.
Q7: Why do surface molecules have higher potential energy than bulk molecules?
Surface molecules experience net attractive forces only from below, creating an energy deficit compared to bulk molecules surrounded equally on all sides. Work must be done to move bulk molecules to the surface, increasing their potential energy. This additional energy is called surface energy and explains why liquids spontaneously minimize surface area.