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For the sloped lines in a heating curve ( the solid, or liquid is heating up) for the straight horizontal lines the phase change is occurring. When calculating the sloped lines you use q=mCDeltaT but when you are at a phase change ( straight line), you use n*DeltaHfusion
When a phase change is happening you will use q=mdeltah or q=ndeltah depending on whether you are given mass or moles. When the substance is heating up or the diagonal line on the curve, you will used q=mcdeltaT or q=ncdeltaT once again depending on whether you are given moles or mass.
Phase changes correlate to the plateau of a heating curve, and there, you can use q = mΔh if you are given mass or q = nΔh if you are given moles. If you are calculating the diagonal/rise in temperature, you will use q = mCΔT or q = nCΔT.
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