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It depends on a few different things that you haven't told us yet. What temperature is the water starting at? What is the power output on the microwave? How efficient is the microwave?

To simplify things I'll assume that the water starts at room temperature (72F or 295.372K).

I'll also assume that the microwave is a 1,000W unit. I'm also going to assume that it is 100% efficient, that is, it uses 1,000W in its magnetron and all that energy becomes heat in the water.

The water needs to be heated from 72F (295.37K) to 100F (310.93K), there are 30mL of the water so this takes: 310.93-295.37=15.556K change in temperature.

There are 30g (0.03kg) of water to be heated and the specific heat of water is 4.187kJ/kgK.

Q=4.187*15.556*0.03

Q=1.95398916kJ

1954.0 J of heat need to enter the water. The microwave outputs 1000W which is 1000J/sec.

This means the water should be microwaved for about 1.954 seconds.

Keep in mind this is assuming the water is room temperature (it's probably not if it comes out of a faucet) and that the microwave is 100% efficient (it is most certainly not). Both of those facts mean it will take slightly longer to achieve the 100F.

~OR~

Just microwave some.

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14y ago

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