The energy generation rate for the CNO thermonuclear cycle is given by the following propor-tionality relation1/37exp[-152 (109)].TECNO X T-2/3 exp-152If the energy generation rate is approximated by a power law as e x Tº at a given temperatureT, then a is given by a = din. Hence show that ECNO x T¹8 at T = 2.0 × 107 K.In T

It is given that and, so, we just need to take the natural log of the energy temperature relation…

The energy generation rate for the CNO thermonuclear cycle is given by the following propor- tionality relation 1/3 exp[-152 (10) ¹0 T ECNO X T-2/3 If the energy generation rate is approximated by a power law as x T at a given temperature T, then a is given by a = din. Hence show that ECNO XT¹8 at T = 2.0 × 107 K. In T

The energy generation rate for the CNO thermonuclear cycle is given by the following propor- tionality relation 1/3 exp[-152 (10) ¹0 T ECNO X T-2/3 If the energy generation rate is approximated by a power law as x T at a given temperature T, then a is given by a = din. Hence show that ECNO XT¹8 at T = 2.0 × 107 K. In T

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 64P: Professional divas sometimes use heliox, consisting of 79% helium and 21% oxygen by mole. Suppose a...

See similar textbooks

Similar questions

Heliox, a mixture of helium and oxygen, is sometimes given to hospital patients who have trouble breathing, because the low mass of helium makes it easier to breathe than air. Suppose helium at 25 is mixed with oxygen at 35 to make a mixture that is 70% helium by mole. What is the final temperature? Ignore any heat flow to or from the surroundings, and assume the final volume is the sum of the initial volumes.
The partial pressure of carbon dioxide in the lungs is about 470 Pa when the total pressure in the lungs is 1.0 atm. What percentage of the air molecules in the lungs is carbon dioxide? Compare your result to the percentage of carbon dioxide in the atmosphere, but 0.033%.
gas Lab 11 Instructions: Specific Heat Due: See Course Schedule eesm et elsluols mo nuoy b.e The density of iron is PFe €7.87g/cm3. Calculate the mass of the drilo diansb erT iron cube using the definition of density: p= m/V. Show your calculation. 10cm^3 10X10 x10 X 7.87 1.39/cm 3 7,810 gms Answer: こ take mass : by volum e mass - volum ecc (cm³) こ1 mome erlt sisidile erlt ec. woThe density of brick is pbr = 1.92g/cm³. Calculate the mass of the sriw wole brick cube using the definition of density: p = m/V. Show your pnnuas calculation. omme er euld en T0Answer: xac Massco = 1.42 x 10 cm Icm 3 1.9 Zg eignsit er = 19.2 19.2g こ d. The water and the oil are both in beakers which have a 3-liter capacity. Each of the major tick marks on the beaker is 1 liter, elsidile and each minor tick mark i6 0.2 liters. Examine the beakers and ut6ied determine the volume (in ml) of each liquid. (There are 1000 ml 1000mL= IL in one liter, and that 1 ml = 1 cm³.). hdml lcm3 ierine Answer:uteTegnmet eid) ho…
for 0.0061 moes of The Figure s hows a pV-dagram an ideal gas that undergoes Ehe process from state I to state 26sta te 3. Q1B) P(atm) Pz Tq =2926K T3=2438k %3D 100 200 300 V V(cm3) The idenlgas cors tant R= 8.3/ J/mol or R=0.08206 L-atm/molin %3D 11.What is the absolute temperature, T, of the in kelvins? e gas in statel, 2) Calculate the pressure, Pe, of the gas in state 2 (inatml3 / Calculare the volume of the gasin state 3, Va in Iliters(e)
13.8 A thermonuclear fusion reactor is assumed to be used for power generation under the following conditions: • Annual consumption of deuterium D is 10 kg and tritium T is 15 kg, • Corresponding number of D and T moles is n= 5 x 10³ moles each, • Annual duration of the reactor operation tis 8190 h per year, • Energy conversion efficiency of the fusion reactor is n = 0.43. Avogadro number is N = 6.023 x 1023 molecules/atoms per mole and the energy released in a D–T fusion reaction is E,= 17.59 MeV. Estimate (i) the annual amount of energy released in the reactor Ey, and (ii) the average electric power output Pq of the reactor.
The pressures deep within the Earth are much greaterthan those on the surface, and to make use of thermochemical data in geochemical assessments you need to take thedifferences into account. (a) Given that the enthalpy of combustion of graphite is -393.5 kJ mol-' and that of diamondis -395.41 kJ mol-', calculate the standard enthalpy of theC(s, graphite) ~ C(s, diamond) transition. (b) The densitiesof graphite and diamond are 2.250 g cm3 and 3.510 g cm-3,respectively. Calculate the internal energy of the transitionwhen the sample is under a pressure of 150 kbar.
L:03) A CAES has a volume of 600000 m3, and the compressed air pressure range is from 75 bars to atmospheric pressure. Assuming isothermal process and an efficiency of 40% estimate the energy and average power for a 3-hour discharge period.
The reaction rate for the prepupal development of male Drosophila is temperature-dependent. Assuming that the reaction rate is exponential as in R x e-bdlCB!) , the activation energy for this development is 3.01 x 10-19 J. A Drosophila is originally at 20.10°C, and its temperature is increasing. If the rate of development has increased 3.50%, how much has its temperature increased? The value of the Boltzmann constant is 1.381 x 10-23 J/K (see Table B.1). °C
The d be Show that L= AH for a phese change of a substance taking place at constant Pressure P, where Land AH deote Ahe latent heat and the enthalpy change.respective ly.
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 in
s dnidal 2as Indergnes two therml 750k ond 300k- ). The fist Poncess of this cycle (3 isthermal Gompression. Skith the cyole on PV ond T-S 1k of dix d Carnat Peces cyole b/w with रक म on both digrome o thomier initial snd final stater and dimton f each rean? i)- Detamine Cle thermael efecitary2 during itheamal exponsion if Work done on air during Cothenal Canpresion à iv)- Dkmine cycle worke V) -Detemine chonge of Gtabil inakiA kik of Pmcous inrbelen Cyck?
1. The figure shows the natural loga- rithm of the particle density of air (p = 1.225 kg m-3 at h = 0) for a constant temperature. Given that the linear fit to the data is In(n) = 58.533 at h = 0 and In(n) 57.386 at h = 10ª m, stating any assumptions used, 10 2000 4000 6000 8000 Height, h [m] (a) calculate the average mass of an air particle, (b) determine the temperature of the air. Number density, In(n) [m] 57.5 58 58.5