![fortwill05](/avatars/5228.jpg)
fortwill05
13.02.2020 •
Mathematics
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of δ-glucono lactone into gluconic acid, for example, dy/dt=−0.6y when t is measured in hours. If there are 100 grams of delta-glucono lactone present when t = 0, how many grams will be left after the first hour?
Solved
Show answers
More tips
- F Food and Cooking Delicious and Simple Fillings for Pies...
- H Health and Medicine How to Help Men Gain Weight?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- S Style and Beauty How to Choose the Right Fur Coat and Avoid Regrets?...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics 5. (total 16 points) brand w: 500 napkins for $2.87 brand x: 200 napkins for $1.27 brand y: 100 napkins for $0.62 brand z: 250 napkins for $1.37 a. which brand is the cheapest?...
- M Mathematics Find an expanded expression for the total surface area of the square-based pyramid....
- M Mathematics Describe the process of light-independent reactions....
- M Mathematics In what direction is a line with an undefined slope going...
- M Mathematics 30 ! find the value of x. (note: the line passing through the center of the circle is a diameter.) 115 117 121 130...
- M Mathematics The population in texas was 20,851,820 in 2000 and 25,145,561 in 2010. by what percent did the population change?...
- M Mathematics If log 55 = 1.74 , what is the value of log1000 55 ?...
- M Mathematics What s the slope for this problem : passes through (0,1) and (2,5) i really need...
- M Mathematics Could you me figure out the answer to this problem? i’m kinda having a hard time....
- M Mathematics There are 2 times as many girls as boys in my class. there are a total of 22 students. how many more boys than girls are in the class?...
Ответ:
The amount of delta-glucono lactone present after the first 1 hour = 54.88g
Step-by-step explanation:
dy/dt = -0.6y where y₀ (corresponding to t=0) is 100g
dy/dt = -0.6y
dy/y = -0.6dt
Integrating the left hand side from y₀ to y and the right hand side from 0 to t.
In (y/y₀) = -0.6t
(y/y₀) = e⁻⁰•⁶ᵗ
y = y₀ e⁻⁰•⁶ᵗ
But y₀ = 100g
y = 100e⁻⁰•⁶ᵗ
At t = 1,
y = 100e⁻⁰•⁶ = 54.88g
The amount of delta-glucono lactone present after the first 1 hour = 54.88g
Ответ:
-1.75
Step-by-step explanation: