Agas is contained in a gas piston-cylinder assembly. the piston mass and crosssectional area are denoted as m and a, respectively. the only force acting on top of the piston is due to atmospheric pressure, patm. assume the piston moves smoothly in the cylinder and the local acceleration of gravity g is constant. - show that the pressure of the gas acting on the bottom of the piston remains constant as gas volume varies. - what would cause the gas volume to vary?

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.