## Heat curve

CameronJohari1J
Posts: 66
Joined: Fri Sep 29, 2017 7:06 am
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### Heat curve

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.

Seth_Evasco1L
Posts: 54
Joined: Thu Jul 27, 2017 3:00 am

### Re: Heat curve

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.

Mitch Mologne 1A
Posts: 74
Joined: Fri Sep 29, 2017 7:04 am

### Re: Heat curve

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.