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### Heat curve

Posted: Thu Mar 15, 2018 7:06 pm
The steeper the slope of a heat curve, the smaller the heat capacity is? can someone provide also provide a mathematical example to prove/disprove my statement as well.

### Re: Heat curve

Posted: Thu Mar 15, 2018 7:24 pm
Yes that would be correct! If we look at a heating curve, the x-axis would be the heat absorbed and the y-axis would be the temperature.

Let's say for some substance, the heat capacity of a substance in a solid phase is 10 J/oC and the heat capacity of the same substance is 20 J/oC in its liquid phase.

Slope would be equal to (change in temperature/change in heat absorbed)

The slope of the heat curve in the solid phase would be 1/10 while the slope of the heat curve in the liquid phase would be 1/20.

1/10 > 1/20 thus meaning it has a steeper slope which makes sense because it corresponds with the lower heat capacity.

### Re: Heat curve

Posted: Thu Mar 15, 2018 7:35 pm
Conceptually, if a metal has a lower specific heat, it should take less time to get to the same temperature as a metal with a higher one, giving it a steeper slope.