1. A monatomic ideal gas ( = 5/3) is contained within a perfectly insulated cyli

Question

1.

A monatomic ideal gas ( = 5/3) is contained within a perfectly insulated cylinder that is fitted with a movable piston. The initial pressure of the gas is 2.37 105 Pa. The piston is pushed so as to compress the gas, with the result that the Kelvin temperature doubles. What is the final pressure of the gas? Pf=

2.

In moving out of a dormitory at the end of the semester, a student does 1.20 104 J of work. In the process, his internal energy decreases by 4.90 104 J. Determine each of the following variables (including the algebraic sign).
(a) W =   J

(b) ?U =   J

(c) Q =   J

Explanation / Answer

1)

For an adiabatic process

.

    initial   p1-yTy   =   final  p1-y Ty

.

in your case...

.

2370001-5/3   (T initial / Tfinal)5/3 =   p1-5/3

.

      0.0002611166 ( 1/2)5/3   =   p-2/3

.

         p = 13.4 x 105 Pa

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