The radioactive isotope Carbon-14 has a half-life of 5,730 years. Given 300 grams of C-14, what is the remaining mass (in grams) of the isotope after 250 years have elapsed? A) 291.06g B) 8.94g C) 97.02g D) 202.98g
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- What are the decay products of the decay of the following nuclides: 3H, 14C, 64Cu, and 125Sn?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?Calculate the wavelength of light emitted when each of the following transitions occur in the hydrogen atom. What type of electromagnetic radiation is emitted in each transition? a. n = 4 → n = 3 b. n = 5 → n = 4 c. n = 5 → n = 3
- 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 =Initially, there is 50 mg of a certain radioactive material present and after two hours, it is observed that the material has lost 10% of its original mass. Find: a) the mass of the material after 4 hours b) the time at which the mass has decayed to one-half of its initial mass (half-life of the material)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?
- One geoengineering solution to prevent global warming is to increase Earth’s albedo by adding particles to the stratosphere that can reflect sunlight or increasing cloudiness over the oceans. By how much does the albedo have to change to reduce the Earth’s temperature by 1 degree K? What is the corresponding energy difference in W/m2? Assume a one layer atmosphere modelthat is transparent to visible light and opaque to surface emitted IR, a solar constant of 1360W/m2 and an initial albedo of 0.30.A 400-kg satellite was placed in a circular orbit 1500 km above the surface of the earth. At this elevation the acceleration of gravity is 6.43 m/s ^ 2 . Determine the kinetic energy of the satellite in kJ, knowing that its orbital speed is 25.6*10^ 3 km/h . Final answer in: 4 decimal place Unit: KJ(kilojoules) Thanks!