1.  The average coefficient of volume expansion for moonshine alcohol (illegal booze) is 5.750x10^-4    (⁰C^)-1. Assume that a 60.000 gal steel container is filled to the brim with that booze, and the container and alcohol are at 35.00⁰ C (before) .

 

 

The linear coefficient of expansion of the steel is 12.000x10^-6   (⁰C)^-1  . Suppose the moonshine and container are then put in a refrigerator and cooled to  5.00 ⁰C .  (after)

 

What is the volume of the new empty space between the top surface of the alcohol and the level at the top of the container at 5.00 ⁰ C (after) ? 

 

 

 

2.      (26  points) In an insulated vessel, 90.0 g of ice at exactly  0 ⁰C is added to 800.0 g   of water at  25.00 ⁰C.

 

 

What is the final temperature T_f of the water ?

See the diagram below for this situation.

3. (20  points) During the compression stroke in a  four-stroke car engine, the piston is forced up as the mixture of gas and air undergoes an adiabatic compression.

Check out the diagram below for this situation.

 

 

Assume that:

1.      the engine is running at 2600 rpm

2.      the gauge pressure just before the compression is 2.00 atm

3.      The volumes of the mixture before and after the compression is 390.0 cm³ and 45.0 cm³,   respectively.

4.      The time involved in the compression is one-fourth that of the total cycle

5.      The mixture behaves like an ideal gas, with   = 1.40

 

(a)   Find the average power generated  during the compression !

(b)   Extra Credit(  1 point)  What is the initial temperature Ti before the compression?

(c)    Extra Credit(  1 point)  What is the final temperature T_f after the
compression ?

(d)   Extra Credit ( 3 points) What is the total change in internal energy of the gas mixture for the compression ?