Question

if the data below was to be graphed on paper that had 45 boxes available for both the x and y axis, and it was known that extrapolation would be performed over a range of temperatures 4 times larger than the rage of the measured temperatures, what temperature would you assign to each box? Show your work. Temperature (K) Volume(ML) 275k 1.27ml 280k 1.30ml 285k 1.23ml 290 k 1.26ml 295k 1.32ml 300k 1.29ml 305k 1.32ml

Answer 1

Range of temperature for the given data: 275-305 K

So extrapolation would be for 4 time this range,i.e taking the maximum value, 4*305 K= 1220 K

Now,45 boxes are available for both x and y axis. That means we have to divide 45 boxes for both. We give 5 boxes to y axis(volume) and 9 boxes to x axis(temperature). This way total of the graph=9*5=45 boxes

now new range of x axis=275 K-1220 K

So, one box= (1220-270)/9= 105.5

so give the nearest convenient value, i.e 110 as the valu of one box. This way starting from 270 K(left side of box, i.e intersection of x and y axis), you can go like:

270, 380,490,600,710,820,930,1040,1150,1260

This way you cover your range conveniently.