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When water is heated, that energy can be given to the hydrogen bonds, keeping the water cool. So, water has a high specific heat because it takes a lot of energy to heat it up. Surface tension is a result of hydrogen bonds holding the surface molecules together tightly. So the relationship between water's high specific heat and surface tension is that hydrogen bonds are responsible for both of them. If hydrogen didn't have these bonds, water's specific heat would be normal, and its surface tension negligable.

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Q: Relationship between high specific heat and surface tension?
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