The van der Waals (vdW) equation is a cubic equation of state (CEOS) which may be used to calculate the volume or pressure conditions for a real gas: P= a = RT a v-b v² Here, v represents the molar volume of the gas, and P, R, and T' are the absolute pressure, ideal gas constant, and absolute temperature of the gas, respectively. The values a and b are component dependent an may be calculated using: 27 R²T² 64 P C and b= 1 RT 8 Pc So, when both the critical pressure (Pc) and critical temperature (Tc) are known, one can apply the vdW CEOS to give a more accurate calculate more accurate properties than the ideal gas law. One must be careful to use absolute values for the pressure & temperature (e.g., unit of K not °C) and a value for the gas constant that is consistent with the unit desired (such as R = 0.0083144598 L·bar/K·mol) Do the following: a) Calculate the molar volume (L/mol) of nitrogen gas (Pc = 33.96 bar, Tc = 126.19 K) at 5 bar and 30°C using both the ideal gas law & using the vdW CEOS. b) Calculate the molar volume (L/mol) of ammonia gas (Pc = 113.33 bar, Tc = 405.40 K) at 15 bar and 110°C using both the ideal gas law & using the vdW CEOS.

The van der Waals (vdW) equation is a cubic equation of state (CEOS) which may be used to calculate the volume or pressure conditions for a real gas: P= a = RT a v-b v² Here, v represents the molar volume of the gas, and P, R, and T' are the absolute pressure, ideal gas constant, and absolute temperature of the gas, respectively. The values a and b are component dependent an may be calculated using: 27 R²T² 64 P C and b= 1 RT 8 Pc So, when both the critical pressure (Pc) and critical temperature (Tc) are known, one can apply the vdW CEOS to give a more accurate calculate more accurate properties than the ideal gas law. One must be careful to use absolute values for the pressure & temperature (e.g., unit of K not °C) and a value for the gas constant that is consistent with the unit desired (such as R = 0.0083144598 L·bar/K·mol) Do the following: a) Calculate the molar volume (L/mol) of nitrogen gas (Pc = 33.96 bar, Tc = 126.19 K) at 5 bar and 30°C using both the ideal gas law & using the vdW CEOS. b) Calculate the molar volume (L/mol) of ammonia gas (Pc = 113.33 bar, Tc = 405.40 K) at 15 bar and 110°C using both the ideal gas law & using the vdW CEOS.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Q8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).
Time left 1:5 An ideal gas has its pressure (1.8) times and mass density (2.2) times increased. If the initial temperature is 265.4 °C, what is the final temperature in °C, and use one number after the decimal (xxx.x)? Answer: NEXT PAGE pe here to search DELL
1. For the following concentration expressions, indicate whether they are uniform or nonuniform and in how many dimensions (OD, 1D, 2D, or 3D), and steady or unsteady. Then for the following control volume and origin, and table of constants, use Excel or Matlab to graph profiles that show how concentration changes within the control volume and over time to a limit of 20 for the following: C(x,0,0,0), C(0,y,0,0), C(0,0,z,0) and C(0,0,0,t). On each graph, show which parameters are held constant, the CV boundaries, and the point where all four plots overlap. 20 C(x=0) 10 a 0.0001 b 0.001 | 20 0.01 k 0.1 100 All of the following functions are C(space, time) and so not necessarily just x as suggested. a. C,(x)= C,(x = 0)x exp{- ax}
Water freezes at 0° Celsius and 32° Fahrenheit and it boils at 100°C and 212°F. (a) Find a linear function F that expresses temperature in the Fahrenheit scale in terms of degrees Celsius C. Use this function to convert 5°C into Fahrenheit. °F (b) Find a linear function C that expresses temperature in the Celsius scale in terms of degrees Fahrenheit F. Use this function to convert 120°F into Celsius. °℃ (c) Is there a temperature n such that F(n) = C(n)? (If an answer does not exist, enter DNE.)
Silver or Ag (Dr. Tree's third favorite metal) melts at 961.8°C and has a Heat of Fusion = 88 Jlgm. Let the superscript "sl" indicate that a substance is melting (i.e., solid liquid). 2. -sl a. Please find Ah for melting Ag in kJ/mole. Note: Fusion = a liquid to solid transformation. Note: Heats Fusion are traditionally reported as positive values. Engineers must determine the proper sign for their system.
Ql: The viscosity in industrial measurement continue to use the CGS system of Lunits, since centimeters and grams vield convenient numbers for many fluids. The absolute viscosity () unit is the poise, I poise = 1 gtem. s). The kinematic viscosity (v) unit is the stohes, I stokes = 1 em /s. Water at 20C has u = 001 poise and also V= 0.01 stokes. Express these resalts in (a) SI and (h) BG tanits.
Engr 215 Matlab Fahrenheit to Celsius using multiple statements Given a Fahrenheit value temperatureFahrenheit, write a statement that assigns temperatureCelsius with the equivalent Celsius value. While the equation is C = 5/9 * (F - 32), as an exercise use two statements, the first of which is "fractionalMultiplier = 5/9;"]
= 14 15 16 17 18 19 20 21 22 23 24 25 26 A gas storage cylinder in an ordinary chemical laboratory measures 3.9 cm wide and 16. cm high. This is the label on it. olo Contents: N, gas Pressure: 7.93 atm If the cylinder is opened and the gas allowed to escape into a large empty plastic bag, what will be the final volume of nitrogen gas, including what's collected in the plastic bag and what's left over in the cylinder? Write your answer in liters. Round your answer to 2 significant digits. ?
is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…
The left side of this equation tells how much energy Q the cylinder gives to the water while it cools. The right side of this equation tells how much energy Q the water and aluminum cup absorb from the cylinder to warm up. Because it is the same energy, they are equal. What is known in this equation? Mcyl 411.7 g, malum 46.5 g, malum+water = 175 g Can you find: mwater =? g Twater = Talum = 20°C (water and cup of room temperature) 90°C, T; = 35°C (hot cylinder and cool "cylinder+cup+water" temperatures) Tcyl kCal Calum = 0.22, Cwater 1 (specific heat of water and aluminum, measured in units kg-°C What are we looking for is Ccul - How we find it? Plug all the numbers into the equation (1), Ccul will be one unknown which you can calculate from the equation. Important, convert all the masses from grams to kilograms! After you find Ccyl, compare it to known value for the copper 0.093(our cylinder is made out of copper). |Ceyl -0.093| % : · 100% 0.093
The rate of infections with respect to time t (measured in days) within a population is seen to be rising exponentially according to the relation: I = e(k–1)t (Infections per day) This occurs over a period of 20 days from time t = [0, 20], where k = 1.4. a) What is the period of time t required for the initial infection rate I(t = 0) to double in number? State answer to within 3 decimal places.
3. If the temperature of a certain amount of gas is held constant, the absolute pressure of gas varies inversely as its volume without change of state, and if for certain amount of gas, the absolute pressure is 20 psi (pound per square inch) when the volume is 40 liters, then find the volume when the absolute pressure reached 32 psi. 4. The electrical resistance of a wire varies directly as the length and inversely as square of radius. The resistance of a certain piece of wire of length 100 feet and radius 0.02 inch is 300 ohms. Find the resistance of the wire of the same material 2500 feet long and radius 0.05 inch.