When heat is added to a gas, its internal energy (u) and temperature (t) both increase. the rise in the internal energy per unit temperature is called the heat capacity. if 1 mole of gas is considered the heat capacity is called the molar heat capacity, cm exercises: 4. write an expression for the total internal energy of 1 mole of a monatomic gas in terms of the mean square velocity and in terms of temperature. use the results of exercise 4 and the definition of molar heat capacity to find the heat capacity 5. per mole at a constant volume. exercises: how many degrees of freedom are there for an atom in a lattice vibrating about is equilibrium position? what is the internal energy per mole? 7. what is the molar heat capacity for the model?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r