7. In the case of intra-muscular injection of a medicament, its mass m(t) in blood changes with timeaccording to the law m(t) = "o (e-kt – e-rt). Here Mo is initial mass of the medicament, k is eliminationcoefficient and r is absorption coefficient. Calculate (a) the medicament mass in blood 3 hours afterinjection; (b) Find velocity of the medicament elimination v 3 hours after injection if k = 0,5 (1/hour), r =2 (1/hour) and Mo = 220 mg.Morr-k

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Answered: 7. In the case of intra-muscular…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 15P: Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank...

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Assume it takes 7.00 min to fill a 30.0-gal gasoline tank. (a) Calculate the rate at which the tank is filled in gallons per second. (b) Calculate the rate at which the tank is filled in cubic meters per second. (c) Determine the time interval, in hours, required to fill a 1.00-m3 volume at the same rate. (1 U.S. gal = 231 in.3)
The first atomic bomb was detonated on July 16, 1945, at the Trinity test site about 200 mi south of Los Alamos. In 1947, the U.S. government declassified a film reel of the explosion. From this film reel, British physicist G.I. Taylor was able to determine the rate at which the radius of the fireball from the blast grew. Using dimensional analysis, he was then able to deduce the amount of energy released in the explosion, which was a closely guarded secret at the time. Because of this, Taylor did not publish his results until 1950. This problem challenges you to recreate this famous calculation. (a) Using keen physical insight developed from years of experience, Taylor decided the radius rof the fireball should depend only on time since the explosion, t, the density of the air, , and the energy of the initial explosion, E. Thus, he made the educated guess that r=kEabtcfor some dimensionless constant kand some unknown exponents a,b, and c. Given that [E]=ML2T-2 , determine the values of the exponents necessary to make this equation dimensionally consistent. (Hint: Notice the equation implies that k=rEabtcand that [k]=1 ). (b) By analyzing data from high-energy conventional explosives, Taylor found the formula he derived seemed to be valid as long as the constant khad the value 1.03. From the film reel, he was able to determine many values of rand the corresponding values of t. For example, he found that after 25.0 ms, the fireball had a radius of 130.0 m. Use these values, along with an average air density of 1.25kg/m3 , to calculate the initial energy release of the Trinity detonation in joules (J). (Hint: To get energy in joules, you need to make sure all the numbers you substitute in are expressed in terms of SI base units.) (c) The energy released in large explosions is often cited in units of “tons of TNT” (abbreviated “t TNT”), where 1 t TNT is about 4.2 GJ. Convert yow answer to (b) into kilotons of TNT (that is, kt TNT). Compare your answer with the quick-and-duty estimate of 10 kt TNT made by physicist Enrico Fermi shortly after witnessing the explosion from what was thought to be a safe distance. (Reportedly, Fermi made his estimate by dropping some shredded bits of paper right before the remnants of the shock wave hit him and looked to see how far they were carried by it.)
Roughly how many heartbeats are there in a lifetime?
Find the order of magnitude of the number of table-tennis balls that would fit into a typical-size room (without being crushed). 18. (a) Compute the order of magnitude of the mass of a bath-
Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?
Prove 1.) Assume that the population of a certain city increases at a rate proportional to the number of inhabitants that is presently living. If the population doubles in 2 years, and after 3 yes is 20,000, now what is the estimated initial residents living in city? Answer : 7062 2.) Compute its maximum speed in km/h, of a vehicle whose velocity v (in m/s) is a function of time (in secs) acc to the eq v = 4.5 + 18t - 4.5 t2 Ans: 22.5
and A college pro fessor had major surgery needed to exercise to regain his pre-surgeny health status. In order to be safe, he decided to go to the local Target store and push around the perimeter inside the store at a walking pace. His regime was 4-laps, repeated several times each day. W ← T t TARGET W L (u) cm (vi) meter (vic) kilometers (1) inches/set (ii) feat / min (ive) yards/hour (iv) miles/hour Target area = WL 135, 100 ft ² 1,656 - Answer the following questions. Be sure to show your a cart brisk (a) what distance did be walk daily? Give your answer in: 17 inches (ii) feet (vvu) yards Livs miles (b) The professor was able to complete the 4 laps around the inside of the Target store in What was his average walking speed? answer in (V) cm/sec (vi) m/sec. (vic) kilometers/hour 25 minuter. your Give
In a water tank there are four taps, the first one adds water at 5 L/s the second at 6t L/s; the third drains water at a rate of t^2 L/ s, and the fourth is closed. Argue the truth or falsehood of the following statement: "The rate of change of volume with respect to time can be calculated as: dv/dt = (5-6t-t^2) L/ s."
b): The patcutal 0.21 partile a abag the X-aris is Ulx)=822x" is Where Joules meters.2Iher is Dill be and the at Xelom, in in That acelention,
Convert 1.050 g/cm3into base SI units. Express your answer in scientificnotation with the correct number of significant figures.
The rate of decay of the radioactive isotope Free Neutron 239 is given by: M = -1.1 x 10-³M where M is the mass of the isotope in grams and t is time measured in minutes. A sample initially contains 3 grams of the isotope. What is the mass of the isotope present in the sample after 320 minutes? The mass is grams. Round your answer to 3 significant figures, if needed. b) How long does it take for the mass of the isotope in the sample to fall to 1.5 gram? It takes t = minutes. Round your answer to the nearest integer if needed.
You measure a certain flow rate to be Q=12.9±1.6cm3/min. What would be the uncertainty in the logarithm of the flow rate, or δlog(Q)?

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