Identical heat lamps are arranged to shine on two identical containers, one containing water and one methanol (wood alcohol), so that each liquid absorbs the same amount of energy minute by minute. The covalent bonds of methanol molecules are nonpolar, so there are no hydrogen bonds among methanol molecules. what will happen to the temperature of the water and the methanol?

The temperature of the methanol will increase more rapidly.  

Explanation:

The premise of your question is incorrect. Methanol has an OH group, so there ARE hydrogen bonds among methanol molecules.

However, the specific heat capacity of methanol is 2.53 J°C⁻¹g⁻¹, while that of water is 4.18 J°C⁻¹g⁻¹.

Thus, it takes 65 % more heat energy  to raise the temperature of a given mass of water by 1 °C than it does to raise the temperature of an equal mass of methanol by the same amount.

The two samples are receiving heat energy at the same rate, so the methanol will heat up faster than the water.

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