The fundamental equation of a certain material is 1 2 u m n n s v   ( ) / where m is a positive constant. it is desired to do some processing of this material in which t, v, n1 and 2 are controlled. what legendre transform will transform the fundamental equation into the one of the form x = x ( t, v, n1 , 2 ) a) derive the equivalent gibbs equation for this transform. b) derive the equivalent euler equation (integrated gibbs equation) for this transform. c) show that 1 2 2 1 1 , , t v, , n v s n t                     d) find the new fundamental equation in the transformed representation, i. e., find the function x = x( t, v, n1 , 2 )

During cooling, the kinetic energy of the molecules falls. why does this happen? a. the motion of the molecules increases. b. the motion of the molecules slows down. c. the van der waals forces between molecules decrease d. the forces of attraction between the molecules are overcome.

Which of the following should not be included in a great summary? a. blaming your lab partner b. new questions your experiment has generated c. your prediction d. your investigation plan

2.which choice most accurately explains what happens to the bonds between atoms when water changes to steam, and what becomes of the energy added during this phase change? when water changes to steam bonds between molecules are created. after reaching the boiling point, energy is used to change bond strength and change the kinetic energy of the atoms. when water changes to steam bonds between molecules break apart. after reaching the boiling point, energy is used to break bonds, but does not affect the kinetic energy of the atoms. when water changes to steam bonds between molecules are created. after reaching the boiling point, energy is used to break bonds, but does not affect the kinetic energy of the atoms. when water changes to steam bonds between molecules break apart. after reaching the boiling point, energy is used to change bond strength and change the kinetic energy of the atoms.