# maximum population

(1 point) Assume the world population will continue to grow exponentially with a growth constant k = 0.0132 (corresponding to a doubling time of about 52 years), it takes acre of land to supply food for one person, and there are 13,500,000 square miles of arable land in in the world. How long will it be before the world reaches the maximum population? Note: There were 6.06 billion people in the year 2000 and 1 square mile is 640 acres. Answer: The maximum population will be reached some time in the year Hint: Convert .5 acres of land per person (for food) to the number of square miles needed per person. Use this and the number of arable square miles to get the maximum number of people which could exist on Earth. Proceed as you have in previous problems involving exponential growth. (1 point) Human hair from a grave in Africa proved to have only 67% of the carbon 14 of living tissue. When was the body buried? The half life of carbon 14 is 5730 years. The body was buried about years ago. Hint: The half-life of Carbon-14 is 5730 years. Use this and the the information about 67 % to help you find r. Then find t. (1 point) Newton’s Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 293° F and left to cool in a room at 76° F, its temperature T after t hours will satisfy the differential equation dT = k(T – 76). dt If the temperature fell to 197° F in 0.8 hour(s), what will it be after 5 hour(s)? After 5 hour(s), the temperature will be Hint: Newton’s Law of Cooling is discussed in the book on pages 240–241. degrees F. (1 point) The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain after 2000 years? Hint: Recall P = Poekt where Po is the initial amount of such a substance, P is the amount at a given time t andk is the exponential rate of decay. What would it mean if P = .5P? Preview My Answers Submit Answers You have attempted this problem 0 times. Vanhoo unlimited om mair (1 point) Assume the world population will continue to grow exponentially with a growth constant k = 0.0132 (corresponding to a doubling time of about 52 years), it takes acre of land to supply food for one person, and there are 13,500,000 square miles of arable land in in the world. How long will it be before the world reaches the maximum population? Note: There were 6.06 billion people in the year 2000 and 1 square mile is 640 acres. Answer: The maximum population will be reached some time in the year Hint: Convert .5 acres of land per person (for food) to the number of square miles needed per person. Use this and the number of arable square miles to get the maximum number of people which could exist on Earth. Proceed as you have in previous problems involving exponential growth. Experiment One Enthalpy: Heat of Neutralization Prelaboratory Quiz Name Manuele diaz Laboratory Section D4 1. The temperature of a 20.0 g sample of a metal (specific heat 0.04 J/g-°C) is raised by 20° C. How much heat (in J) has been absorbed by the metal? Q = m &cp XAT Q = 20. og x 0. 045/90 x 20 c = – 116.005 2. A calorimeter and its contents have a heat capacity of 70 J/°C. A reaction occurs in this calorimeter at atmospheric pressure. The temperature of the system rises 10° C when one mole of product is formed. Calculate AH for this reaction. DH = CAT 705 lc x10 c = 700J AH = 705/06 Since the tempercatur increage at isi Footload 3. If 100 g of a solution (specific heat of 0.22 J/g-°C) undergoes a reaction in which 47.84 J of heat are liberated, what is the rise in temperature of this solution? DH- me de 47.848 = loog x 0,258/exdt dt= 12.17°C 4. Thirty grams of a substance of molar mass = (46 g/mol) required 226 J of heat to raise its temperature from 23.0 °C to 28.4 °C. What is the heat capacity per mole of this sub- stance? Q = mc de 8765 3og x сx 5,9 C- – 113953/00 226 30×5,4 mole = 1,3 955 l C Yogt baghel = 64.175/ music (1 point) Human hair from a grave in Africa proved to have only 67% of the carbon 14 of living tissue. When was the body buried? The half life of carbon 14 is 5730 years. The body was buried about years ago. Hint: The half-life of Carbon-14 is 5730 years. Use this and the the information about 67 % to help you find r. Then find t. (1 point) Newton’s Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 293° F and left to cool in a room at 76° F, its temperature T after t hours will satisfy the differential equation dT = k(T – 76). dt If the temperature fell to 197° F in 0.8 hour(s), what will it be after 5 hour(s)? After 5 hour(s), the temperature will be Hint: Newton’s Law of Cooling is discussed in the book on pages 240–241. degrees F. (1 point) The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain after 2000 years? Hint: Recall P = Poekt where Po is the initial amount of such a substance, P is the amount at a given time t andk is the exponential rate of decay. What would it mean if P = .5P? Preview My Answers Submit Answers You have attempted this problem 0 times. Vanhoo unlimited om mair

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