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If the energy in the battery were used to heat 1.0 l of water, estimate the corresponding change in the water temperature? the heat capacity of water is 4190 j/kg⋅k .

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Final answer:

The change in temperature of the water can be estimated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Step-by-step explanation:

The change in temperature of the water can be estimated using the formula Q = mcΔT, where Q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Given that the heat capacity of water is 4190 J/kg⋅K and we have 1.0 L of water, which is equivalent to 1000 g, we can calculate the heat energy as follows:

Q = (mass of water) x (specific heat capacity) x (change in temperature)

Q = (1000 g) x (4190 J/kg⋅K) x (ΔT)

Assuming the initial temperature of the water is 20 °C and we want to heat it to a final temperature, let's say, 40 °C, we have:

Q = (1000 g) x (4190 J/kg⋅K) x (40 °C - 20 °C)

Q = 100,000,000 J or 100 MJ

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