A van der waals gas undergoes an isothermal expansion from specific volume v1 to specific volume v2. 1) Calculate the change in the specific helmholtz function for this process.2) Calculate the change in the specific internal energy U for this process in terms of v1 and v2 using uqation F=U +T(partia F/ partia T)V.

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. how long will the ball be in the air before it lands? how far will the football travel before it lands?

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.

Blank is the perceived frequency of a sound wave