1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Xelga [282]
3 years ago
10

The element europium (EU) exists in nature as two isotopes: (151 EU)with a mass of 150.9196 amu & (153 EU) with a mass of 15

2.9209 amu. The average mass of EU is 151.96 How do you calculate the relative abundance of the two EU isotopes? X% times 150.9196 (plus) Y% times 152.9209 equals = 151.96. what are the X and Y percentages? And what is the formula to identify the unknowns X and Y?
Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

X = 48.014%

Y = 51.986%

Step-by-step explanation:

Given

151 EU has a mass of 150.9196 amu

153 EU has a mass of 152.9209 amu

Calculating the relative abundance of the two EU isotopes.

First condition that must be satisfied is

X + Y = 100%;

X + Y = 1. ----- Equation 1

Second Condition is;

150.9196X + 152.9209Y = 151.96 ------ Equation 2

In Equation 1; make Y the subject of formula.

So, Y = 1 - X.

Substitute (1 - X) for Y in Equation 2

150.9196X + 152.9209(1 - X) = 151.96 ----Open bracket

150.9196X + 152.9209 - 152.9209X = 151.96 ---- Collect Like Terms

150.9196X - 152.9209X = 151.96 - 152.9209

−2.0013X = -0.9609

X = -0.9609/-2.0013

X = 0.480137910358267

X = 48.014% ----- Approximated

Y = 1 - X

Y = 1 - 48.014%

Y = 0.51986

Y = 51.986% ---- Approximated

You might be interested in
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and the
AleksandrR [38]

The graph is continuous.A viable solution is (10, 50) at the function t = c + 40.

The complete question is given below:-

The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Check all that apply.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph is continuous.

A viable solution is (10, 50).

t = c + 40

The given equation is

t = c + 40

This equation models the relationship between the temperature and the number of cricket chirps.

Where is the temperature in degrees Fahrenheit and is the number of cricket chirps heard in 14 seconds?

According to the problem, the temperature can be found by counting the number of cricket chirps heard in 14 seconds and then adding 40.

Now, the choices to this question are

The graph is continuous.

All values of t must be positive.

A viable solution is (–2, 38).

A viable solution is (0.5, 40.5).

A viable solution is (10, 50).

The graph of the given equation is attached, it shows the linear relationship between both variables.

Notice that the graph is continuous, it doesn't have any restriction, nor "emptiness" at certain values.

Observe that the remaining choices are all solutions to the equation, but not all of them are viable because the number of cricket chirps must be positive and integer because we can't hear the sound of 0.5 cricket.

Therefore, the last choice is viable (10, 50).

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

6 0
2 years ago
If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles, how many sides does it h
alukav5142 [94]
<span>The measure of angle KJM is 108°.</span>
4 0
3 years ago
Jimmy earns $9.25 per hour working at a local grocery store. If Jimmy earned $74 last week, which equation would be used to dete
Alekssandra [29.7K]
9.25h=74 you multiply h by 9.25
8 0
3 years ago
PLEASE WILL GIVE BRAINLIEST!!
sveta [45]

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

7 0
3 years ago
How many square feet of carpet will we need for this hole??
vaieri [72.5K]
Bottom = 2x5 = 10ft
Middle = 2x6 ( 4+2) = 12
Top 4x2= 8
10ft+12ft+8ft= 30ft squared
6 0
4 years ago
Other questions:
  • In rectangle KLMN, KM =6x +16 and LN =49. Find the value of X
    11·2 answers
  • How will you write 7^5 as a multiplication expression?
    5·1 answer
  • joshua carried 52 loads of sand to make a play area. each load weighed 21 pounds. how many pounds od sand does joshua use to mak
    6·2 answers
  • How much water should we add to 20 kg of seawater to change its concentration from 3% to 2%?
    12·1 answer
  • Write the characteristics of a point in Quadrant IV. a. Both coordinates are positive. b. Both coordinates are negative. c. The
    12·1 answer
  • 72 less than the quotient of a number and -2 is -88.
    6·2 answers
  • Find the measure of 2 and 4 if 1=122° and 3 = 58°
    13·1 answer
  • Please help me with this!!
    11·1 answer
  • Troy is considering two lawn care services. Premier Landscaping charges $15 for travel to Troy's house and $55 per hour for main
    13·1 answer
  • A nurse is investigating the birth weights of​ non-premature babies. She selects a random sample of 41 such​ babies, and found a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!