QuestionJuly 27, 2025

How many joules are needed to change the temperature of 1 g of water by 1^circ C Express your answer with the appropriate units.

How many joules are needed to change the temperature of 1 g of water by 1^circ C Express your answer with the appropriate units.
How many joules are needed to change the temperature of 1 g of water by 1^circ C
Express your answer with the appropriate units.

Solution
4.0(381 votes)

Answer

4.18 J Explanation 1. Identify the specific heat capacity of water The specific heat capacity of water is **4.18 J/g°C**. 2. Calculate energy required Use the formula **q = mc\Delta T**, where m = 1 \text{ g}, c = 4.18 \text{ J/g°C}, and \Delta T = 1^{\circ}C. 3. Substitute values into the formula q = (1 \text{ g})(4.18 \text{ J/g°C})(1^{\circ}C) = 4.18 \text{ J}.

Explanation

1. Identify the specific heat capacity of water<br /> The specific heat capacity of water is **4.18 J/g°C**.<br /><br />2. Calculate energy required<br /> Use the formula **$q = mc\Delta T$**, where $m = 1 \text{ g}$, $c = 4.18 \text{ J/g°C}$, and $\Delta T = 1^{\circ}C$.<br /><br />3. Substitute values into the formula<br /> $q = (1 \text{ g})(4.18 \text{ J/g°C})(1^{\circ}C) = 4.18 \text{ J}$.
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