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3. 2 moles of an ideal gas at 17oC has a pressure of 760mm mercury, and...

3. 2 moles of an ideal gas at 17oC has a pressure of 760mm mercury, and is compressed once isothermally and then adiabatically until its volume is halved [in each case reversibly and from identical initial conditions]. The gas constant is 8.314J/kg. The density of the mercury is 13.60g/cm3 . [Express all your answers in MKS 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 gas is 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 diagram qualitatively[but accurately] and label clearly the adiabatic and the isothermal curves. (P along vertical axis and V along horizontal axis)

Expert Solution

genius_generous answered 2 years ago

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