The rate of change of the temperature of the coffee is given by the following differential equation, where T is measured in degrees Fahrenheit and t is in minutes. The time to reach a certain temperature, T =185 F t = 4 min

dT/dt = 0.041(T – 75)

a. Use Euler's mothod with a stop size of 0.5 to estimate the temperature of coffee after 5 minutes.

b. Analyses the effect of step size on the error use of appropriate graph is recommended.

c. Find out the exact temperature of coffee solving the ordinary differential equation.

d. Compute the absolute error using the exact temperature determine in step c

A thermodynamic cycle showing the properties that contribute to the standard potential of a metal couple explanation needed about this

Entropy values of materials in different states and conditions are investigated.

1/ Under standard conditions (1 bar / 0oC), 1 dm3 Helium, which is considered as ideal gas, is heated up to 500 K temperature. a) How much does the entropy value change with isobar heating? b) How much does the entropy value change with Izokor heating?

2/ 1 kg of water whose compressibility is ignored is heated from 0oC to 50oC. a) Calculate the entropy increase of water by heating. b) Compare the previous value with a mixture of 0.5 kg of water at 0oC and 0.5 kg of water at 100oC (final temperature is considered 50oC).

3/ Heat capacity 470 J.kg-1.K-1, a mass with a weight of 1 kg is heated to 300oC and then immersed in 10 kg of water at 20oC. a) Calculate the final temperature. b) After calculating the entropy change of both objects, calculate the total increase.

In the hydrodealkylation of toluene to produce benzene, a stream of toluene is mixed with a recycle stream and enters a reactor along with a stream of pure hydrogen. The reaction products at 530°C enter a condenser where they are cooled to 45.0°C. A vapor stream containing 0.55 mol CH4/mol leaves the process, and a liquid stream containing 0.75 mol benzene/mol and 0.25 mol toluene/mol enters a distillation column. The distillate of the column leaves the process at 800.0 mol/hr and contains 0.9000 mol benzene/mol and 0.1000 mol toluene/mol. The bottoms of the column contain 0.15 mol benzene/mol and 0.85 mol toluene/mol and is recycled back to the fresh feed. Hydrogen is fed into the process at 1850 mol H2/hr. This process is carried out at 760 mmHg. Draw the process flow diagram and describe (label) it fully by solving for the unknown variables for all the streams. Calculate the Single Unit and Overall Conversion (%) of toluene.

How large is the content of ethanol expressed in mass percent and in mole percent in hand spirit?

Hand spirit contains 70 vol% ethanol.

Subjects density in (g/cm^3)

Ethanol 0.78934  

Water 0.99823

70% v / v ethanol 0.88650

Discuss and illustrate with examples TWO groups of polymers which are used in general biomedical applications.

The electrical conductivity of a metal depends upon,

(?) all of these selections

(?) dislocation density

(?) impurity content

(?) temperature

Consider a well-mixed tank filled with 200 L of liquid containing a chemical A at the concentration of 4 mol/L which decomposes following a first order kinetics RA=k.CA with a rate constant of k=0.05 min-1 . At t=0 an outlet stream starts to leave the tank with the flow rate of 5 L/min. After the liquid level falls to the half of the initial level, an inlet stream with CA=4 mol/L starts entering the tank at a flow rate of 5 L/min. Calculate the outlet stream concentration 30 minutes after the start of the operation.

answer these two questions (each question should have 200 words or more)  

1.Importance of reactors in various chemical process industries

2.Recent developments made in packed and fluidized bed columns

Pure sulfur is burned with 63% excess air according to the following reaction.
S + O2 = SO2 The furnace gases formed enter a reactor under a pressure of 1 atm at 500 ° C.
80% of SO2 is converted into SO3 by SO2 +1/2 O2 =SO3 reaction. According to this,
a) Calculate the equilibrium constant Kp of the SO2 +1/2 O2 = SO3 reaction. (10 points)
b) What should be the reactor pressure to increase the conversion rate of SO2 to 95% at the same temperature?

You mix together two flows of water. The first flow is a saturated liquid at 300 kPa, moving at a rate of 2 kg/s. The second flow is a superheated vapor at 300 kPa and 300 °C, and is moving at a rate of 0.2 kg/s. If the outlet is similarly at 300 kPa, (a) what is the mass flow rate of the outgoing water, (b) what is the temperature of the outgoing water, and (c) What is the rate of entropy generation for this process?

A substrate is decomposed in the presence of an enzyme according to the Michaelis-Menten equation
with the following kinetic parameters:
Km = 20 g/L
Vmax = 12.0 g/L-min
(a) Determine the concentration of substrate after leaving the second reactor in a two-reactor series of
20-liter CSTRs. The flow rate is 2.00 L/min. The inlet substrate concentration is 40 g/L. The
enzyme concentration in the two reactors is maintained at the same value all of the time.
(b) Determine the conversion in terms of substrate conversion of the two-reactor system and the
conversion of a single CSTR equal to the total volume of the two-reactor system. Clearly indicate
the configuration with the greater conversion