Prepositions in relative clauses

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A material heats up at a rate that depends on its chemical composition.

The rate at which a material heats up depends on its chemical composition.

The school that she is head of is closing down.

The school of which she is head, is closing down.

In the novel by Peters, which the film is based on, the main character is a teenager.

In the novel by Peters, on which the film is based, the main character is a teenager.

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