6-30 Carbon dioxide at an initial pressure of 100 atm and a temperature of 300 K...

 

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6-30 Carbon dioxide at an initial pressure of 100 atm and a temperature of 300 K under- goes an adiabatic free expansion in which the final volume is ten times the original volume. Find the change in temperature and the increase in specific entropy, assuming that CO, is (a) an ideal gas, (b) a van der Waals gas. (Use Tables 2-1 and 9-1 and make assumptions that seem reasonable.) any other Table 2-1 Constants a and b in van der Waals equation. Pin Nm,vin m³ kilomole-, Tin kelvins, R = 8.31 x 103 J kilomole- K-, a Substance (J m kilomole-) (m³ kilomole-) Не 3.44 x 10 0.0234 H2 24.8 .0266 138 .0318 CO2 366 .0429 H,0 580 .0319 Hg 292 .0055 Table 9-1 Molal specific heat capacities of a number of gases, at temperatures near room temperature. The quantities measured experimentally are cp. and y. The former is determined by use of a continuous flow calorimeter and the latter is obtained from measurements of the velocity of sound in the gas. Cp-C, Gas Cp/R Cy/R Не 1.66 2.50 1.506 .991 2.50 1.52 1.507 Ne 1.64 .975 A 1.67 2.51 1.005 Kr 1.69 2.49 1.48 1.01 Хе 1.67 2.50 1.50 1.00 H2 1.40 3.47 2.47 1.00 1.40 3.53 2.52 1.01 N2 CO 1.40 3.50 2.51 1.00 1.42 1.43 3.50 2.50 1.00 NO 3.59 2.52 1.07 Cl, 1.36 3.00 1.07 CO2 NH, 1.29 4.47 3.47 1.00 .33 4.41 3.32 1.10 CH Air 1.30 4.30 3.30 1.00 1.40 3.50 2.50 1.00 6-30 Carbon dioxide at an initial pressure of 100 atm and a temperature of 300 K under- goes an adiabatic free expansion in which the final volume is ten times the original volume. Find the change in temperature and the increase in specific entropy, assuming that CO, is (a) an ideal gas, (b) a van der Waals gas. (Use Tables 2-1 and 9-1 and make assumptions that seem reasonable.) any other Table 2-1 Constants a and b in van der Waals equation. Pin Nm,vin m³ kilomole-, Tin kelvins, R = 8.31 x 103 J kilomole- K-, a Substance (J m kilomole-) (m³ kilomole-) Не 3.44 x 10 0.0234 H2 24.8 .0266 138 .0318 CO2 366 .0429 H,0 580 .0319 Hg 292 .0055 Table 9-1 Molal specific heat capacities of a number of gases, at temperatures near room temperature. The quantities measured experimentally are cp. and y. The former is determined by use of a continuous flow calorimeter and the latter is obtained from measurements of the velocity of sound in the gas. Cp-C, Gas Cp/R Cy/R Не 1.66 2.50 1.506 .991 2.50 1.52 1.507 Ne 1.64 .975 A 1.67 2.51 1.005 Kr 1.69 2.49 1.48 1.01 Хе 1.67 2.50 1.50 1.00 H2 1.40 3.47 2.47 1.00 1.40 3.53 2.52 1.01 N2 CO 1.40 3.50 2.51 1.00 1.42 1.43 3.50 2.50 1.00 NO 3.59 2.52 1.07 Cl, 1.36 3.00 1.07 CO2 NH, 1.29 4.47 3.47 1.00 .33 4.41 3.32 1.10 CH Air 1.30 4.30 3.30 1.00 1.40 3.50 2.50 1.00