Another statement is, "Volume is directly proportional to the number of moles."
The volume increases as the number of moles increases. It does not depend on the sizes or the masses of the molecules.
V
∝
n
, where
V
is the volume, and
n
is the number of moles.
V
n
=
k
, where
k
is a proportionality constant.
We can rewrite this as
V
1
n
1
=
V
2
n
2
Equal volumes of hydrogen, oxygen, or carbon dioxide contain the same number of molecules.
STP is 0 °C and 1 bar.
One mole of an ideal gas occupies 22.71 L at STP. Thus, its molar volume at STP is 22.71 L
Example Problem
A 6.00 L sample at 25.0 °C and 2.00 atm contains 0.500 mol of gas. If we add 0.250 mol of gas at the same pressure and temperature, what is the final total volume of the gas?
Solution
The formula for Avogadro's law is:
V
1
n
1
=
V
2
n
2
V
1
=
6.00 L
;
n
1
=
0.500 mol
V
2
=
?
;
m
m
l
n
2
=
0.500 mol + 0.250 mol = 0.750 mol
V
2
=
V
1
×
n
2
n
1
V
2
=
6.00 L
×
0.750
mol
0.500
mol
=
9.00 L
Solving Systems using tables
Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.
A. Write an equation to represent the amount in Mikayla’s savings account.
B. Write an equation to represent the amount in Matthew’s savings account.
C. Below make an input-output tables that show the amount in each account for the first 8 months
D. When will Mikayla and Matthew have the same amount in their accounts?
Mikayla Matthew
X Y X Y
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
Answer:
i hope this helps
Step-by-step explanation:
3% is the interest rate. Using the formula I=PRT, you can simply derive the rate by putting the given numbers in.
I = 450P = 3,000R = ?T = 5 Years
The equation now goes,450 = 3,000 * R * 5450 = 15,000 * R450/15,000 = R0.03 = R
multiply it by 100,
R = 3%
What is the lead coefficient in the product of ( -2x -3)(4x + 5) *
-8
-2
4
-15
Will pick brainliest
Answer:
Step-by-step explanation:
(-2x-3)(4x+5) = -(2x+3)(4x+5) = -(8x^2+12x+10x+15) = -8x^2 - 22x - 15
Leading coefficient is -8
Piz help me fast asap thx
Answer:
y = 476^x
Step-by-step explanation:
y = 250(1.904)^×
y = 476^x
Hope this helps, thank you !!
Answer:
Loading. . .
Step-by-step explanation:
what is the value of x ? round your answer to the nearest tenth .
Answer:
39 maybe i don't know
Step-by-step explanation:
The figure below shows a right triangle:
What is r ÷ p equal to? (6 points)
Group of answer choices
A. sin y°
B. sin x°
C. tan y°
D. tan x°
Answer:
tan y°
Step-by-step explanation:
by using the Sine Rule (See attached), we can form the equation:
[tex]\frac{r}{sin (y)} = \frac{p}{sin (x)}[/tex]
rearranging this, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(x)}[/tex] ---------------------eq 1
Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°
i.e x + y = 90°
with a little rearranging, we get
x = (90° - y)
Substituting this into eq 1 above, we get:
[tex]\frac{r}{p} =\frac{sin(y)}{sin(90- y)}[/tex] ---------eq 2
recall that from the trigonometric co-function identities,
sin (90°- y) = cos y
substituting this into eq 2 gives :
[tex]\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)[/tex] (answer)
The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?
Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
If m_1=37º, what is m_4?
Answer: 148
Step-by-step explanation: so you will do 37 times 4
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?
How many zeros are shown in this graph:
Picture of the graph down below.
Answer:
4
Step-by-step explanation:
the zeros are each time it touchs/crosses the x axis
X-3+7(x + 3) - 3x – 12
Can someone simplify it or expand it please I need it in like 5 mins !
Answer:
5x+6
Step-by-step explanation:
x-3+7x+21-3x-12
5x+6
[tex] =\tt x - 3 + 7(x + 3) - 3x - 12[/tex]
[tex] =\tt x - 3 + 7x + 21 - 3x - 12[/tex]
[tex] =\tt 7x + x - 3x - 3 - 12 + 21[/tex]
[tex] =\tt 8x - 3x - 15 + 21[/tex]
[tex] \color{plum}=\tt\bold{ 5x + 6}[/tex]
▪︎Therefore :[tex]\color{hotpink} =\tt x - 3 + 7(x + 3) - 3x - 12 \color{plum}=\tt\bold{ 5x + 6}[/tex]
help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?
Answer
Step-by-ste$6.48- $6.00= $.48
.48÷ 6.0= 0.08
0.08 = 8%
tax rate is 8%
p explanation:
Answer:
3%
Step-by-step explanation:
6.18-6.00 = .18
.18/6.00= .03
.03= 3%
Mrs. Smith took her bird to the vet. Tweety weighed 1 and 3/10 pounds. The vet said that Tweety weighed 4/10
pound more last year. How much did Tweety weigh last year?
Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems
Answer:
52 minutes
Step-by-step explanation:
it takes him 13 minutes to complete 5 so if he wants to do 20 problems do 20 divided by 5 (4) then do 13 times 4=52
solve for x and y in the parallelogram
Answer:
x=3
y=6
Step-by-step explanation:
Hope this helps! :)
Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.
Plzzzzzzzz HELP!!!!!!
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answer:
16,000
Step-by-step explanation:
16,000 - answer
com/forms/d/e/1FAIpQLSeaV3E4GEivw--oxpi043rlf3g1huKMHD79-ccdtkntgEc32g/viewform?hr_submission=Cho
Question 2: Using the following data [2.5 kg, 3.1 kg, 3.4 kg, 3.5 kg, 3.5 kg, 4 kg,
4.1 kg] calculate the interquartile range
I need the lower quartile upper quartile and the interquartile range
Answer:
interquartile should be 3.45kg
lower quartile is 2.8kg
upper quartile is 3.75kg
please help 11 points and will give brainelist
Answer:
i believe it should be C
Step-by-step explanation:
dont forget to say thanks
brainelist??
Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. Let A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours). What is the Functions formula? A(t)=?
Answer:
cgnnjfcjifchhgsiwjcjcbanxjdhw
7x + 4 = 25, then x is equal to
a) 29/ 7 b) 100/7 c) 2 d/ 3
Answer:
d) 3
Step-by-step explanation:
7x+4=25
7x=21
X=3
Answer: D. 3
Step-by-step explanation:
Given
7x+4=25
Subtract 4 on both sides
7x+4-4=25-4
7x=21
Divide 7 on both sides
7x/7=21/7
x=3
Hope this helps!! :)
Please let me know if you have any questions
Decrease 20g by 90% I don’t get this
Answer:
Step-by-step explanation:
If you wanna decrease the number 10 by 90%, It's just 9. You simply need to multiply a/100 at the number you try to decrease by a%.
Answer:
Decrease 20g by 90%: final value 2 gm
Step-by-step explanation:
decrease 90%: decrease 20 * 0.9 = 18
new value after decrease: 20 - 18 = 2
help me again please due today
Answer:
y-int. is -4 (red)
Step-by-step explanation:
what is the y-value
y = 6x – 3
x+2y = 7
Answer:
i love algebra anyways
the ans is in the picture and the steps how got it
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
3x+25=2(4x-10)
Can somebody plz explain to me how to solve this
Pat volunteered to bake 80 biscuits for a family reunion breakfast. She plans to bake 8 biscuits in each pan. Which number sentence can be used to find p, the number of pans of biscuits that she will need to bake?
Answer: 10 pans
Step-by-step explanation:
Step 1:
If the number of biscuits needed= 80
Step 2:
And the number of biscuits on each pan= 8
Step 3:
Then the number of pans needed= 80 ÷ 8
Answer: 80 ÷ 8 = 10pans
Find the degree of the monomial.
9xy3z7
Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog, d, he walks
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know
Answer:
Step-by-step ex
HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.
please help me, I am so confused. Thanks
Answer:
c. 80
Step-by-step explanation:
cos x = sin(x-70)
cos x = cos [90-(x-70)]
cos x = cos (90-x +70)
cos x = cos 160 -x
x= 160-x
2x = 160
x =80
