it is 10 qustion from pdf folder and some of them in book pic.. show work pleas

as of 4:13 PM on 2/6/15

Physics 317 Homework #1 – Due in class, Mon Feb 16 1. Carter problem 2.7

2. Carter 2.8, but you don’t have to use the “cyclical relation”

3. Carter 2.9 4. A hypothetical substance has volumetric thermal expansion coefficient 𝛽 = 𝑏𝑇/𝑣 and

compressibility 𝜅 = 𝑎/ 𝑃𝑣 . Find a formula for its equation of state. (Hint see Carter 2.10 & 2.11)

5. Carter problem 2.13, which assumes a single value for the thermal expansion coefficient as temp rises. This is incorrect, so repeat the calculation using various values:

a. at 20oC: β =0.00021 (1/oC) b. at 30oC: β =0.00030 (1/oC) c. at 40oC: β =0.00039 (1/oC) d. at 50oC: β =0.00046 (1/oC)

6. Rewrite V-d-W’s equation as a cubic polynomial with respect to v and show it has only one root at

vc can . Hint, factor it into an equation of the form 𝑃 𝑣 − 𝑣! !

7. (GRE #79) Consider 1 mole of real gas satisfying VdW’s equation of state. Assume the gas

undergoes an isothermal expansion at To, From Vi to Vf. What is the configuration work done by the gas?

8. 1 kmole of an ideal gas is compressed isothermally & reversibly from 2 atm to 5 atm. How much work is done on the gas?

9. Carter 3.3 10. Carter 3.5 except for parts b and c assume 5 kilomoles expands from 𝑉! = 20  𝑚! to 𝑉! = 60  𝑚! 11. Suppose a photoacoustic system heats by 1 mK. Compute the pressure jump induced, assuming

stress confinement (isochoric) and soft tissue values for thermal expansion coefficient 𝛽 = 3.6  ×  10!!  1/𝐾 and compressibility 𝜅 = 4.5×  10!!"  1/𝑃𝑎