A) find w12, the work done on the gas as it expands from state 1 to state 2.
express the work done in terms of po and vo

b) find w23 , the work done on the gas as it cools from state 2 to state 3.
express your answer in terms of po and vo.

c) find w34, the work done on the gas as it is compressed from state 3 to state 4.
express your answer in terms of po and vo.

d) find w41, the work done on the gas as it is heated from state 4 to state 1.
express your answer in terms of po and vo .

e)what is wnet, the total work done on the gas during one cycle?
express your answer in terms of po and vo .

f) when the gas is in state 1, its temperature is t1. find the temperature t3 of the gas when it is in state 3. (keep in mind that this is an ideal gas.)
express t3 in terms of t1.

1.9PoVo

2.W23=0

3.-3*p0*V_0

4.0

5=W=6PoVo

6. T3  = 4/3T1

Explanation:

Work Integral in the pV Plane

The diagram shows the pressure and volume of an ideal gas during one cycle of an engine. As the gas proceeds from state 1 to state 2, it is heated at constant pressure. It is then cooled at constant volume, until it reaches state 3. The gas is then cooled at constant pressure to state 4. Finally, the gas is heated at constant volume until it returns to state 1.  

The preamble above should precede, the questions:

1.Find w12, the work done on the gas as it expands from state 1 to state 2.

Express the work done in terms of Po and Vo

= W=PdV

3Po(4vo-1v0)

9*Po*Vo

2.Find W23 , the work done on the gas as it cools from state 2 to state 3.

Express your answer in terms of Po and Vo.

W23=0 becuase volume is constant , so no work is done

C) Find W34, the work done on the gas as it is compressed from state 3 to state 4.

Express your answer in terms of Po and Vo=

-3*p0*V_0

D) Find W41, the work done on the gas as it is heated from state 4 to state 1.

Express your answer in terms of Po and Vo

W=0  volume is constant

E) What is Wnet, the total work done on the gas during one cycle?

Express your answer in terms of Po and Vo ..

W=6PoVo

F. When the gas is in state 1, its temperature is T1. Find the temperature T3 of the gas when it is in state 3. (Keep in mind that this is an ideal gas.)

Express T3 in terms of T1.

T3  = 4/3T1

no. dot product   =0 when vecs at right angles

do you have a formula possibly