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) 760.0 1160 1540 2285 3060 3810 v (cm3) 70.4 52.8 43.6 33.3 27.3 23.6 we wish to determine the values of k and c (both numerical values and units) that best fit the data.

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.