The relationship between the pressure P and volume V of the air in a cylinder during the upstroke of a piston in an air compressor can be expressed as PVk = C where k and C are constants. During a compression test, the following data are taken: P(mm Hg) 760 1140 1520 2280 3040 3800 V(cm3 ) 48.3 37.4 31.3 24.1 20.0 17.4 Determine the values of k and C that best fit the data. (Give both numerical values and units.)

Problem 2.36

The relationship between the pressure P and volume V of the air in a cylinder during the upstroke of a piston in an air compressor can be expressed as PVk=C where k and C are constants. During a compression test, the following data are taken:

Determine the values of k and C that best fit the data. (Give both numerical values and units.)

Step by step solution

Step 1 of 3

To determine the values of k and in the relationship between the pressure P and volume V, we will manipulate the given expression in order to get a linear relationship. From this linear relationship, we can determine the values of the variables involved.

First examine the equation:

____________________________________________________________________________