1. an ideal gas expands at a constant pressure of 6.00 105 pa from a volume of 1.00 m3 to a volume of 4.00 m3 and then is compressed to one-third that pressure and a volume of 2.50 m3 as shown in the figure below before returning to its initial state. how much work is done in taking a gas through one cycle of the process shown in the figure?

2. the work done by an engine equals one-fourth the energy it absorbs from a reservoir.

(a) what is its thermal efficiency?

(b) what fraction of the energy absorbed is expelled to the cold reservoir?

Intro: a solid ball of radius rb has a uniform charge density ρ. part a: what is the magnitude of the electric field e(r) at a distance r> rb from the center of the ball? express your answer in terms of ρ, rb, r, and ϵ0. part b: what is the magnitude of the electric field e(r) at a distance r express your answer in terms of ρ, rb, r, and ϵ0. part c: let e(r) represent the electric field due to the charged ball throughout all of space. which of the following statements about the electric field are true? check all that apply. e(0) = 0 e(rb)=0 limr→∞e(r)=0 the maximum electric field occurs when r=0 the maximum electric field occurs when r=rb the maximum electric field occurs as r→∞.