A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should the population become 100 times what it was at noon?
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A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should the population become 100 times what it was at noon?
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- The half-life of cesium-137 is 30 years. Suppose we have a 60-mg sample. (a) Find the mass that remains after t years.y(t) = (b) How much of the sample remains after 60 years? (Round your answer to two decimal places.) (c) After how long will only 1 mg remain? (Round your answer to one decimal place.)t =A sample of solid iodine is heated with an electrical coil. If 72.7 Joules of energy are added to a 13.1 gram sample initially at 23.5°C, what is the final temperature of the iodine?Initially 100 mg of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of decay is proportional to the amount of substance present at time t, determine the half-life of the substance.
- Thallium-201 is used medically to diagnose heart problems. What is the half-life of thallium-201 if 148 hours are required for the activity of a sample of thallium-201 to fall to 24.6 percent of its original value?The half-life of a radioactive substance is defined to be the amount of time it takes for the substance to decay 50% of it's amount. If substance X has half-life of 3,600 years, what part of substance X will remain after 4,500 years?Application of Differential Equation A zircon sample contains 4000 atoms of the radioactive element 235U given that 235U has a half-life of 700 million years, how long would it take to decay to 125 atoms?
- Suppose that a quantity of a radioactive substance originally weighing Xo grams decomposes at a rate proportional to the amount present and that the original quantity is left after 1000 years is halved, find the time when the amount is one-tenth of the original amount. Pls show complete solution, thank youApplication of Differential Calculus A zircon sample contains 4000 atoms of the radioactive element 235U given that 235U has a half-life of 700 million years, how long would it take to decay to 125 atoms?(a) What is the physical significance of energy of activation ? Explain with diagram.(b) In general, it is observed that the rate of a chemical reaction doubles with every 10 degree rise in temperature. If the generalization holds good for the reaction in the temperature range of 295 K to 305 K, what would be the value of activation energy for this reaction ?[R = 8.314 J mol-1 K-1]
- Radium decomposes at a rate proportional to the quantity of radium present. Suppose that it is found in 25 years that approximately 1.1% of a certain quantity of radium has decomposed. How many percent of the original amount or radium decompose after 76 years?Given the number of air molecules at z = 20 km as 1.7*1018 molecules/cm3 and z=25 km as 8.7*1017 molecules/cm3 at a temperature of 288K. calculate the mixing ratio of ozone in ppm at 20 km and 25 km using the values of ozone concentration in molecules/cm3 (left side of Figure 2.6). State any assumptions you are making.The concentration of chlorine in a water tower tank was 2 mg/L when the tower was taken out of service. If the chlorine decays by first-order kinetics with a rate constant of 1.0 1/d, what is the chlorine concentration when the tank is put back in service 8 hours later? What mass of chlorine in kg must be added to the tank to raise the chlorine level back to 2 mg/L. (Assume completely-mixed tank).