3. 2 moles of an ideal gas at 17oC has a pressure of 760mmmercury, and is compressed once isothermally and then adiabaticallyuntil its volume is halved [in each case reversibly and fromidentical initial conditions]. The gas constant is 8.314J/kg. Thedensity of the mercury is 13.60g/cm3 . [Express all your answers inMKS units e.g. volume in cubic meter, pressure in Pascal,Temperature in Kelvin, etc.]
(a) Express the pressure of the gas in units of Pascal.
Pi =
For parts (b) through (h) assume the initial pressure of the gasis 1.013 × 105P a
(b) What is the initial volume of the gas?
Vi =
Consider the isothermal process:
(c) What is the final pressure of the gas?
Pf =
(d) What is the work done on the gas[careful with the sign]?
W =
(e) What is heat leaving the system[careful with the sign]?
Q = Consider now the adiabetic process:
(f) What is the final pressure of the gas?
Pf =
(g) What is the final Temperature of the gas?
Tf =
(h) What is the work done on the gas
W =
(i) Plot the two processes in the same P vs V diagramqualitatively[but accurately] and label clearly the adiabatic andthe isothermal curves. (P along vertical axis and V alonghorizontal axis)
