An almost cube-shaped animal cell (side length 10 μm) uses 109 ATP molecules per minute. You can assume that the cell replaces the ATP used with a glucose oxidation reaction with the reaction equation 6O2 + C6H12O6 → 6CO2 + 6H2O, and that complete oxidation of one glucose produces 30 ATP molecules.

a) How much oxygen does the cell consume per minute?
b) How long does it take for a cell to use its own volume of oxygen? (One mole of gas = 22.4 liters)

2.35 kg of oxygen as an ideal gas at 4.00 bar and 400 ° C develop an adiabatic process up to a pressure of 0.200 bar. What is the work in kJ, done during this process?

B- Design an unbaffled tank to mix a liquid of sp.gr.= 1.297 and
viscosity= 94.5 c.p. NRe = 7.6*10^5, NFr = 1.7
Calculate the power required.
[From chart if NRe > 10^5 then Np=1.8]

Limestone (CaCO3(s)) is fed into a kiln and converted into quicklime (CaO(s)) via the following reaction:
CaCO3(s) CaO(s) + CO2 (g) The heat used to drive this reaction comes from the combustion of methane in the kiln using 50% excess dry air. The limestone and air enter at 25°C, and the quicklime exits at 900°C. The combustion gases exit at 200°C.
DHof, CH4, gas = -74.84 kJ/mol Cp (for all gases and vapors): 30 J/mol.K DHof, CaCO3, solid = -1206.9 kJ/mol Cp,CaCO3(s) = 234.5 J/mol.K DHof, CaO, solid = -635.6 kJ/mol Cp,CaO(s) = 111.8 J/mol.K DHof, CO2, gas = -393.51 kJ/mol    DHof, H2O, gas = -241.83 kJ/mol a) How many kg of CaCO3 can be processed per 1000 m3 of CH4 measured at standard conditions (i.e., 0 °C and 1 atm for gases, assuming CH4 is an ideal gas).
b) What is the dew point of the exit gases if the total pressure of the combustion gas stream is 760 mmHg?
Antoine Constants for H2O (for p* in mmHg, Temp. in K): A = 18.3036, B = 3816.44, C = -46.13
c) Comment on the phase of the water in the exit stream. What would happen if you cooled it down to the dew point temperature? What happens when you cool it to room temperature? What would happen if we raise the pressure of the exit stream at constant temperature?

In a spray dryer operation, milk powder with a moisture content of 4 %wt is produced by dehydrating liquid milk with an initial moisture content of 90 %wt. Hot air for the drying process was generated by drawing and heating the ambient air, initially at 25 ˚C with a relative humidity of 70 % at a mass flow rate of 1000 kg/hr.  The ambient air was heated to 114˚C.  Assuming an adiabatic drying process and the exit air with a relative humidity of 80 %, calculate the production rate of the milk powder (in kg/hr).

Consider a mixture of iso-propanol and toluene. Use the UNIFAC method to find the activity coefficients. Then, create a ??? diagram and an ?? diagram of this system at ? = 101 ???.

Iso-proponol: A=16.6796, B=3640.2, C=219.61
Toulene: A=13.932, B=3056.96, C=217.625. These are the units of Celsius and kPa. For the UNIFAC coefficients I have to use a spreadsheet. Which coefficients do I send?

At a certain temperature T₁, a (1.2324x10^2) mm rod of a copper alloy containing (3.04x10^1) at% Ni has a resistivity of (2.725x10^1) x 10^-8 Ω-m.

For pure copper, the resistivity at 0°C is 1.58 x 10^-8 Ω-m and the change in resistivity per degree increase in temperature is 6.50 x 10^-11 (Ω-m)/°C. The value of A for nickel in copper is 1.18 x 10^-6 Ω-m and the coefficient of thermal expansion of this alloy is (1.6947x10^1) x 10^-6 (°C)^-1.

If the resistivity of this alloy is dependent only on thermal and impurity considerations, at what temperature (in degC) will the length of the rod change by (4.748x10^-1) mm?

Use scientific notation, significant figures in answer: 3

Please clearly show method and equations please!

30% 3) Calculate the fraction of total 2,3,4,5-tetrachlorophenol (organic acid) that is present in the water phase of a dense fog (air-water volume ratio of about 10⁵) at a pH = 2.0 and a temperature of 278 K. Assume a Δ a w H iof 70 kJ/mol for partitioning of this acid between air and water at 298 K. Assume also that the pK_ia is independent of temperature. Data for 2,3,4,5-tetrachlorophenol is available in Ap. C.

Hint: Fog is a suspension of tiny liquid water drops in air. In equilibrium, the acid will be distributed between the two phases. You are asked to calculate the ratio between the acid present in the liquid phase and the total amount of acid present in the two phases.

The weather report says the temperature is 78.0°F, the barometer is at 29.90 inches Hg, the relative humidity is 67.0%. Estimate the mole fraction of water in the air, the molal humidity, absolute humidity, percentage humidity in the air, and the dew point

a) What is the mole fraction of water in the atmosphere?

b) Determine the molal humidity.(mol H₂O)/(mol dry air)

c) Determine the absolute humidity.(g H₂O) / (g dry air)

d) Determine the percent humidity.

e) What is the dew point? °F

The safety rules do not allow the concentration of the toxic solution exceeding 0.1 mg to be released in the environment. In a chemical factory, this toxic chemical solution is used in the process. The solution flows at a constant rate of 4 L/min into a safety tank that initially contains 100 L of pure water. The toxic solution inside the tank is kept well stirred and flows out of the tank at a rate of 3 L/min. The concentration of the toxic solution entering the tank is 0.3 mg/L.

a) Determine the mass of the toxic product in the tank after t minutes.

b) Find when the concentration of the toxic solution in the tank will be 0.1 mg/L.

c) Use Range-Kutta method with increment = Time in (question b) / 4 d) Compare your results by finding the error

A gas stream of flow rate 10.0 lbmole/ft2 h contains
6.0% sulfur dioxide (SO2) by volume in air. It is desired to
reduce the SO2 level in the treated gas to no greater than 0.5% in a countercurrent packed tower operating at 30°C and 1.0 atm total system pressure, using water containing no dissolved SO2 as the absorption solvent. The desired solvent flow rate is 2.0 times the minimum solvent flow rate. At these flow conditions, the film mass-transfer coefficients and kxa =250 lbmole/ft3 h, and kya= 15 lbmole/ft3 h, for the liquid and gas films, respectively. Equilibrium distribution data for SO2 in water at 30°C is provided in the table below.

Determine the height of packing required to accomplish the separation or operation at 2.0 times the minimum solvent flow rate.

Steam at 10 bar and 330°C is fed to an adiabatic turbineat a mass flow rateof 5kg/s

. The output stream is saturated steam at 1.1 bar. The inlet steam flows

through a 15 cm diameter pipe and the exit steam discharges through a 20 cm diameter

pipe.

a)

Calculate the velocity of the input and output streams in m/s.

b)

The power generated by the turbine in kW.

Steam at 10 bar and 330°C is fed to an adiabatic turbine at a mass flow rate of m = 5 kg/s. The output stream is saturated steam at 1.1 bar. The inlet steam flows

through a 15 cm diameter pipe and the exit steam discharges through a 20 cm diameter pipe.

a) Calculate the velocity of the input and output streams in m/s.

b) The power generated by the turbine in kW

What property of compounds causes separation via gas chromatography? Will compounds of a higher or lower value of this property elute off the column first? How do you tell the number of components and how to calculate their percentage?