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Thermodynamics, Statistical Thermodynamics, & Kinetics
- 6. For O2 at 25 °C, CONSTRUCT a plot of the probability density of molecular speeds VS speed.arrow_forward2.00-mol of a monatomic ideal gas goes from State A to State D via the path A→B→C→D: State A PA=13.0atm, VA=11.50L State B PB=13.0atm, VB=6.00L State C PC=21.5atm, VC=6.00L State D PD=21.5atm, VD=21.50L Assume that the external pressure is constant during each step and equals the final pressure of the gas for that step. Calculate q for this process. Calculate w for this process. Calculate ΔE for this process Calculate ΔH for this process.arrow_forward1.3 (a) To what temperature must a 1.0 L sample of a perfect gas be cooled from 25 °C in order to reduce its volume to 100 cm³?arrow_forward
- Calculate V−1(∂V/∂T)p,n for an ideal gas?arrow_forwardDetermine the number of degrees of freedom (trans + rot) for each of the following gases; Ne, CO2, H2O. Then calculate the average total kinetic energy (per mole) at 25 celsius for each gas. (R=8.314J K-1 mol-1)arrow_forwardP1C.4 Calculate the volume occupied by 1.00 mol N2 using the van der Waals equation expanded into the form of a virial expansion at (a) its critical temperature, (b) its Boyle temperature. Assume that the pressure is 10 atm throughout. At what temperature is the behaviour of the gas closest to that of a perfect gas? Use the following data: Tc = 126.3 K, TB = 327.2 K,a = 1.390 dm6 atm mol−2, b = 0.0391 dm3 mol−1.arrow_forward
- An 1.82g sample of a gas occupies 6.8L at a temperature of -100.∘∘C and 3.5psi. What is the identity of this gas?arrow_forwardQ6. (a)The vander waals equation is used to describe the behaviour of real gases but still not so useful in many industrial applications. Explain why?(3) (b)In kinetic molecular theory of gases it is assumed that The molecules of the gases occupy negligible volume as compared to the total volume of the gas' which factor can be actually described by this postulate?(2)arrow_forwardP2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use theappropriate relations between partial derivatives (The chemist’s toolkit 9 inTopic 2A) to show thatC CT V TV p( / )( / ) p VpT2− = ∂ ∂∂ ∂ Use this expression to evaluate Cp − CV for a perfect gas.arrow_forward
- Calculate the amount of energy in the form of heat that is produced when a volume of 4.37 L of SO2(g) is converted to 4.37 L of SO3(g) according to this process at constant pressure and temperature of 1.00 bar and 25.0 ° C. Assume ideal gas behavior.arrow_forwardUse the virial equation of state to calculate the pressureexerted by 1.00 mol CH4, at 273 K confined to a volumeof 1.00 cm3, given the value of the second virial coefficient.B = -53.6 cm3 mol·'. at this temperature. You may assumethat the expansion may be truncated after the second term.arrow_forwardTwo nitro (NO,) groups are chemically bonded to a patch of surface. They can't move to another location on the surface, but they can rotate (see sketch at right). It turns out that the amount of rotational kinetic energy each NO, group can have is required to be a multiple of ɛ, 2 where ɛ = 1.0 × 10 -24 J. In other words, each NO, group could have ɛ of rotational kinetic energy, or 2ɛ, or 3ɛ, and so forth – but it cannot have just any old amount of rotational kinetic energy. Two rotating NO, groups Suppose the total rotational kinetic energy in this system is initially known to be 87ɛ. Then, some heat is removed bonded to a surface. from the system, and the total rotational kinetic energy falls to 66ɛ. Calculate the change in entropy. Round your answer to 3 significant digits, and be sure it has the correct unit symbol. 믐 ?arrow_forward
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