Molecular Physics | Thermodynamics Answers

Oxygen initially at 1000psia and 0.4 ft³/lb undergoes an isothermal process to P2 = 200psia. If the process is steady flow with AK = -2 Btu/lb and performs ac cording to the Berthelot equation, determine a, b, -f v dp, and the work W. The mass flow rate is 16 lb/sec.

Methane at 600 psia, 100°F, is flowing in a pipe line at the rate of 10,000 cfm. Determine the mass flow rate using (a) ideal gas theory, (b) compressibility factor, (c) Redlich-Kwong equation.

Superheated vapor tables show that at 5500 psia, 1200°F the density of water vapor is 6.6 lb/ft³. Determine the percentage error involved if the density is calculated by using (a) the modified reduced van der Waals equation, (b) the ideal gas theory.

The property relation (pu/RT) = Z is known as the compressibility factor for a given substance. For an ideal gas, Z = 1 at any state. (a) Find the compressibility factor Ze for a van der Waals gas at the critical point. (b) Using this value of Ze, rewrite the expressions for the constants a and b ex cluding the property v.

Show that the fugacity of a van der

Waals gas is given by the expression.

In f = -In (v-b) - 2a/RTV + b/v-b

Saturated steam at 200 bar is to be heated at constant pressure to 650°C. Using appropriate deviations, determine ∆h, the heat added, ∆s, and the specific volume at state 2. Compare results with values read from the Mollier chart, Item B 16 (SI).

Find the density of air at 13.79 MPaa and 172.8 K, using (a) pv = RT, (5) pv = ZRT, (c) van der Waals equation. (d) Which of the three answers do you believe is more accurate?

Nitrogen is stored in a 0.425 m² tank at 560 atm, 456 K. Determine the mass of nitrogen in the tank using (a) ideal gas theory, (b) the compressibility factor, (c) van der Waals equation.

one mole of an ideal monoatomic gas is taken through the cycle shown in the figure.

the process A:B is a reversible isothermal expansion.

Given. P(A)=5atm V(A)=10litre

P(B)=1atm V(B)=50litre

P(C)=1atm V(C)=10litre

a.calculate the net work done by the gas

b.the energy added to the gas.

c.the energy expelled by the gas.

d.the efficiency of the cycle.

Water is flowing in a fire hose with a speed of 1.0 m/s with a height of 3.0 m and a pressure of 200,000 Pa. You lift the nozzle of the hose to a height of 1.5 m above the ground. At what speed does the water now come out of the hose?