Heating curve slope

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Emma Li 2C
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Heating curve slope

Postby Emma Li 2C » Sun Jan 21, 2018 4:59 pm

In the heating curve, why is it that the steeper the slope, the lower the heat capacity?

Thank you!

Dylan Davisson 2B
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Re: Heating curve slope

Postby Dylan Davisson 2B » Sun Jan 21, 2018 5:11 pm

On a heating curve, the x-axis is the heat supplied and the y-axis is the temperature. This means that the slope of the heating curve is (temperature)/(heat supplied). And since the equation for heat capacity is (heat supplied)/(temperature rise produced), it is essentially the reverse of the slope of the heating curve. So, because a steep slope means a great amount of temperature resulted from a smaller amount of heat supplied, it equates to a low heat capacity because the equation for heat capacity is the inverse of that slope: (heat supplied)/(temperature).

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