The equation upper e equals startfraction 1 over 2 pi epsilon subscript 0 endfraction startfraction q ⁢ d over z superscript 3 endfraction is approximation of the magnitude of the electric field of an electric dipole, at points along the dipole axis. consider a point p on that axis at distance z = 23.00d from the dipole center (d is the separation distance between the particles of the dipole). let eappr be the magnitude of the field at point p as approximated by the equations below. let eact be the actual magnitude. what is the ratio eappr /eact?

Note: the following questions are unrelated to the balmer series or the martian. refer to your course notes. a sun-sized star will spend most of its lifetime as a: white dwarf b. red giant c. protostar d. main-sequence star

The energy released by a chemical reaction can be measured using a calorimeter. when barium hydroxide octahydrate crystals are reacted with dry ammonium chloride inside of a coffee cup calorimeter, the temperature of the 18.00 g of water in the calorimeter decreases from 30.0°c to 8.0°c. the equation for calculating energy absorbed or released by a reaction is: where q is the energy released or absorbed, m is the mass of water in the calorimeter, cp is the specific heat of water, and δt is the observed temperature change. if the specific heat of liquid water is 4.19 j/g·°c, how much energy was absorbed by the reaction?

Ammonia enters the expansion valve of a refrigeration system at a pressure of 10 bar and a temperature of 18oc and exits at 6.0 bar. the refrigerant undergoes a throttling process. determine the temperature, in oc, and the quality of the refrigerant at the exit of the expansion valve.