Which two forms of heat transfer work together to heat water in a plastic bottle

The two forms of heat transfer that work together to heat water in a plastic bottle are conduction and convection.

Heat is transferred through solid materials by a process known as conduction.

In liquids, heat is transferred by convectional currents.

For water in a plastic bottle, heat will first have to travel through the solid plastic bottle by conduction before heating the water inside the bottle by convection.

More on heat transfers can be found here: link

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