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- One process for decaffeinating coffee uses carbon dioxide ( M=44.0 g/mol) at a molar density of about 14,0 mol/m3 and a temperature of about 60 . (a) Is CO2 a solid, liquid, gas, or supercritical fluid under those conditions? (b) The van der Waals constants for carbon dioxide are a=0.3658 Pa m6/mol2 and b=4.286105 m3/mol. Using the van der Waals equation, estimate pressure of CO2 at that temperature and density. `Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)A process at constant volume pressure takes n mole vibrating diatomic from an initial temperature T to a final temperature 3T. Calculate the change in enthalpy, AH. Select one: O a. O b. ΔΗ AH = 9nRT AU = 5n RT O c. AH 11nRT ΔΗ O d. AH = 7nRT -
- Confirm that the units nRT of are those of energy for each value of R : (a) 8.31 J/mol.K, (b) 1.99 cal/mol.K, and (c) 0.0821 L. atm/mol).K.No. of mole of such substance is equal to the Molarity concen. X volume in ml. True FalseConsider the system of capacitors in the figure with capacitances C1= 180µF, C2= 30µF and C3= 60µF. Between points a and b the potential difference is Va - Vb = +50 V (a) Determine the equivalent capacitance of the system. (b) Determine the charge Q1 stored in C1 and Determine the charge Q3 stored in C3?
- 2) The potential energy between a pair of neutral atoms or molecules is very well approximated by the Lennard-Jones Potential, given by the expression, 12 V(r) = 4ɛ where & and o are constants, and r is the distance between the molecules. The potential energy is plotted in the figure below. The vertical axis is in units of ɛ, while the horizontal axis is in units of o. Molcular Bond Eaery 2 1.25 1.5 1.75 2. 2.25 25 2.75 3.25 -1: -2- Distance W 3.PiKPa P 300 Kh Og 64g of oxygen gas is compressed at 0°C, isothermally and reversibly from P=lkPa to P: = 300 kPa, calculate (AH, AE, q, w)?w-2 30tnkT Long (R = 8.314 J/mol K, At. wt. of O= 16 g\mol) %3D in10. A sample of 2.37 moles of an ideal diatomic gas expe- riences a temperature increase of 65.2 K at constant volume. (a) Find the increase in internal energy if only translational and rotational motions are possible.
- Calculate AS when 3.2 moles of n-hexane goes from 298 K and 1 atm to 398 K and 2 atm. The table below provides useful data, all at 298 K and 1 atm (reference: Cerdeiriña, Claudio A., et al. "Isobaric thermal expansivity and thermophysical characterization of liquids and liquid mixtures." Physical Chemistry Chemical Physics 3.23 (2001): 5230-5236). You may neglect the pressure and temperature dependence of all quantities. Compound Molar Volume (cm³/mol) Isothermal Compressibility (1/atm) Thermal Expansity (1/K) Cp,m (J/molK) n-hexane 133.09 1.69 x 10-4 1.38 x 10-3 195.66 n-heptane 147.45 1.47 x 10-4 1.246 x 10-3 224.64 n-dodecane 228.55 1.00 x 10-4 9.69 x 10-4 376.22constant value mass of Imol volume of 1mol gas (100kPa and 300K) Thermal conductivity (100kPa and 300K) Volume of 1mol liquid (100kPa and boiling T) V=28.5cm³. т%39.9g V, =0.0242m3 k =0.0177 Wm-'K-1 And Cy 1 1 ki = lvrms V, 2 4ar2 NA use the thermal conductivity to calculate the size of atoms.(r is the radius of molecules -spheres). Cy/Vg Urms Compute constants like R and k) and obtain a numerical estimate of mean free path and using only the given numbers (so you can't use any number or physicalThe equation of state for g of oxygen at a pressure P, and temperature T, when occupying a volume V, will be? a) PV = (5/32)RT b) PV = 5RT c) PV = (5/2)RT d) PV = (5/16)RT