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Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3)
02-14-2014, 02:52 PM (This post was last modified: 02-14-2014 04:11 PM by Han.)
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RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3)
In general your interpolation (and its accuracy) depends on the relationship between the parameters. For your example, if you use \( PV=nRT \) and pressure \( P \) is kept constant, then in this case a linear interpolation would be fine since
\[ V = \underbrace{\frac{nR}{P}}_{\text{slope}} \cdot T \]
So since \( n \), \( R \) and \( P \) are constant, then \( V \) is a linear function of \( T \). This should enable you to interpolate the volume provided the pressure is fixed at 100k pascals.

Haven't tested this, but using a linear fit with your known values and then using the trace feature should allow you to figure out the interpolated volume.

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RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Han - 02-14-2014 02:52 PM



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