Initially, there are two large tanks, A and B, each with 100 gallons of brine. The perfectly mixed liquid pumps between the tanks as illustrated in the figure. Use the information given in the figure to build a mathematical model of the number of pounds of salt x1(t) and x2(t) contained at time t in the tanks A and B, respectively.
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Initially, there are two large tanks, A and B, each with
100 gallons of brine. The perfectly mixed liquid
pumps between the tanks as illustrated in the figure. Use the information
given in the figure to build a mathematical model of the
number of pounds of salt x1(t) and x2(t) contained at time t in the
tanks A and B, respectively.
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- Like most spacecraft returning from orbit, the Apollo command module entered the atmosphere at 7.8 km/s. In front of the capsule was a shock front, the leading edge of the shock front we call a bow shock. Let’s consider the conditions as it passes an altitude of 40,000 feet, at 461 miles per hour. 1a) What are the density, pressure, and temperature behind the shock front? 1b) In the frame of the shock, what is the velocity at which the gas approaches the shock? What is the velocity with which the gas leaves the shock? 1c) In the frame fixed on the Earth, what is the velocity of the post- shock gas?Use the Widmark Equation, , to solve this question. Recall that r = 0.68 for men and r = 0.55 for women. B = percentage of BACN = number of “standard drinks” (A standard drink is one -ounce beer, one -ounce glass of wine, or one -ounce shot of liquor.) N should be at least one.W = weight in poundsr = the distribution rate for alcohol through the body (this value is a constant), for males and for femalest = number of hours since the first drink A male student had four glasses of wine at a party. He weighs 172 pounds. How long will it take before his BAC falls to 0.05? 3.14 hours 3.57 hours 1.00 hours 4.29 hoursB, n, and p denote magnetic field strength, particle number density, and pressure, respectively. γ is theadiabatic index. The integral is taken over the full length of a flux tube with a small cross section.In ideal MHD convection, these quantities are conserved.A) Pinpoint the detailed assumptions of “ideal MHD convection”;B) With the ideal MHD assumption, prove that V, N, and H are conserved.
- At the end of a massive star’s life, its core can undergo a catastrophic collapse that triggers a supernova explosion. The core remnant consists of about 1.4 solar masses’ worth of pure neutronsand is called a neutron star. What is the approximate radius of such a neutron star, if neutrons arereally like incompressible spheres?For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?How do I convert m^3 to Barrels of Oil? I know 1 Barrel of Oil equals 42 US Gallons. How do I convert 1580 m^3 to Barrels of Oil? Thank you!
- High energy cosmic rays from space hit the nitrogen in the atmosphereand convert it from nitrogen (N14) into carbon (C14). This produces a steadyconcentration of C14 in the atmosphere once the decay rate of the C14 back intoN14 matches the conversion rate from the cosmic ray flux (which is assumedto be constant for reasons you can ask me about if you want).a) What kind of radiation (what kind of particle) does the C14 emit when it decays? Tellme how you know?b) The concentration of C14 in plants (and animals) comes into equilibrium with the atmosphere because living things use the ambient carbon to make their cellular structures.However, once a plant dies, it no longer consumes C14. The C14 starts to decay away—allowing us to calculate when the plant died because the C14/C12 ratio doesn’t match theatmosphere. If the half life of C14 is 5000 years, what is the age of a piece of charcoal froma site from the Clovis peoples of North America if the concentration of C14 is 15% of…In the deep space between galaxies, the number density of atoms is as low as 106 atoms/m3, and the temperature is a frigid 2.7 K. part (a) What is the pressure, in pascals, in the region between galaxies? part (b) What volume, in cubic meters, is occupied by 3.5 mol of gas? Part (c) If this volume is a cube, what is the length of one of its edges, in kilometers?Maz v expe MV². 2RT dN F(V)dV = = 4t(- 2TRT AP(- where dN, the number of particles having a velocity between v and v+dV, V velocity of molecules, M moleculer mass of gase, T temperature = sve {()dv= ? V =
- but why we dont consider a thickness of mass dm ? ( of a disk)This is all one question I really need help with this!!!In the deep space between galaxies, the number density of atoms is as low as 106 atoms/m3, and the temperature is a frigid 2.7 K. (a) What is the pressure, in pascals, in the region between galaxies? (b) What volume, in cubic meters, is occupied by 2.5 mol of gas? (c) If this volume is a cube, what is the length of one of its edges, in kilometers?