to determine the rate of decay, 1 gram of 239U was placed in a container, and the amount remaining was measured at 1-minute intervals and recorded in the table below. Time, in minutes Grams remaining 1 1 0.971 2 0.943 3 0.916 4 0.889 0.863 a. Show that these are exponential data and find an exponential model. (For this problem, round all your answers to three decimal places.) b. What is the percentage decay rate each minute? What does this number mean in practical terms?

to determine the rate of decay, 1 gram of 239U was placed in a container, and the amount remaining was measured at 1-minute intervals and recorded in the table below. Time, in minutes Grams remaining 1 1 0.971 2 0.943 3 0.916 4 0.889 0.863 a. Show that these are exponential data and find an exponential model. (For this problem, round all your answers to three decimal places.) b. What is the percentage decay rate each minute? What does this number mean in practical terms?

Name: 14. The Half-Life of 239U Uranium-239 is an unstableisotope of uraniu
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 14. The Half-Life of 239U Uranium-239 is an unstableisotope of uranium that decays rapidly. In orderto determine the rate of decay, 1 gram of 23'U wasplaced in a container, and the amount remainingwas measured at 1-minute intervals and recorded inth

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 15TI: Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take...

See similar textbooks

Similar questions

Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
11.Suppose that during a controlled experiment, the temperature in a test tube attime t is rising at a rate of 6t^2+2 degrees centigrade per minute. If the initialtemperature is 20°C, what is the temperature in the test tube after 10 minutes?
The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is con-tinuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years. a. If t represents time in years and y represents tooth size, use the condition that y = 0.99y0 when t = 1000 to find the value of k in the equation y = y0 ekt. Then use this value of k to answer the following questions. b. In about how many years will human teeth be 90% of their present size? c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?
suppose that the initial mass of a radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass relating at the time t
The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide at time t is given by 1/C = kt + 1/C0, where C0 is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.1 mol/L exactly. Assume that time can be measured with negligible uncertainty.a) After 45 minutes, the concentration of ammonium cyanide is measured to be 0.0811 ±0.0005 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate.b) Use the result in part (a) to estimate the time when the concentration of ammoniumcyanide will be 0.0750 mol/L, and find the uncertainty in this estimate.
In using a double exponential smoothing method, we calculated S3 to be 2,255.6 and G3 to be 12.2. D4 is 1,916 and alpha and beta values are 0.4, and 0.53, respectively. The error for the forecast in period 4 (F4) is:
In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after before
A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t years. Find the average value during the first 40 years. ( that is, from time 0 to time 40). Round your answer to the nearest cent
If the geometric mean of two observations is (1/n) times their harmonic mean, prove that the rate of the two observations is: ( 1+✓1n²) : ( 1. ✓1- n²)?
Assume S = $45, σ = 0.25, r = 0.05, div = 0.0, on a 45 strike call and 55 days until expiration. Given delta = 0.5502 and gamma = 0.0876, what is the delta-gamma approximation for the call price on a $0.90 stock price decline?
16.Suppose that the dimensions of a cylinder change at constant rates: the radius of the base is decreasing at a rate of 1 cm/min, and its height is increasing at 8cm/min. At the moment when the radius is 5 cm and the height is 25 cm, at what rate are the volume and surface area of the cylinder changing?
The standard enthalphy of formation for one mole of methanol (CH3OH) is -239 kJ what is the value in calorie?