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Higher heat capacity means a less steep slope because it requires more energy (along x-axis) to raise the temperature (along y-axis) of the substance. In terms of the heating curve graph: when looking at y/x, the larger x is, or the energy, the smaller the slope-> less steep.
It is a shallower slope because it is a slower process to reaching the next phase change whereas for low heat capacity, it takes less energy and heat and thus has a steep slope because it reaches the next phase easier.
the slope refers to the rate, so lower heat capacities = steeper slope because it can reach the next phase quicker and higher heat capacity, more shallow because more energy and time is needed to reach next phase change
If a substance has a lower heat capacity, that means it will take less energy (x) to make an increase in the temperature (y). This results in a steep slope. Conversely, if a substance has a higher heat capacity, it takes more energy (x) to increase the temperature so it will have a smaller slope.
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