temperature

logistic_guy

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How much heat (joules) is required to raise the temperature of 30.0 kg\displaystyle 30.0 \ \text{kg} of water from 15C\displaystyle 15^{\circ}\text{C} to 95C\displaystyle 95^{\circ}\text{C}?
 
We use the heat transfer equation to solve this problem.

ΔQ=mcΔT\displaystyle \Delta Q = mc\Delta T

where c\displaystyle c is the specific heat capacity. For water c=4186 J/kgC\displaystyle c = 4186 \ \text{J/kg} \cdot \text{C}^{\circ}

Then,

ΔQ=(30)(4186)(9515)=1×107 J\displaystyle \Delta Q = (30)(4186)(95 - 15) = \textcolor{blue}{1 \times 10^7 \ \text{J}}

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