When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula, known as Boyle’s law

where P1 and V1 are the pressure (in atm) and the volume (in litres) at the beginning, and P2 and V2 are the pressure and the volume at the end. Find the final pressure P2 if V1 = 1.5 litres, P1 = 4.5 atm and V2 = 3.5 litres. Round to the nearest tenth of a atm.

Answers

Answer 1

Answer:  Approximately 1.9 atm

============================================

Work Shown:

[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]

If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.

Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.

-----------

As a check,

[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]

We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.

A more accurate check could be

[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]

which has the two sides much closer to one another. This helps us verify the answer.


Related Questions

The inequality x ≥ -3 is satisfied by point (0, -2). True False

please explain!!

Answers

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116

Answers

Answer:

the range is from 105 to 234

Step-by-step explanation:

A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods.
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each
club member must collect for the club to meet the goal?
10n +30<500
10n + 30 500
30n + 10 < 500
30n + 10 > 500

Answers

i think i would know the answer to that

Find the value of 8C0

Answers

Answer:

[tex]^8C_0=1[/tex]

Step-by-step explanation:

In this problem, we need to find the value of [tex]^8C_0[/tex].

The formula for the combination is given by :

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

We have,

n = 8 and r = 0

[tex]C(8,0)=\dfrac{8!}{0!(8-0)!}\\\\=\dfrac{8!}{8!}\ (\because\ 0!=1)\\\\=1[/tex]

So, the value of [tex]^8C_0[/tex] is 1.

4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°​

Answers

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

what is the value of the digit 2 in 92153

Answers

Answer:

thousand is the correct answer :)))

2,000 or two thousand

Please help!!!! I will mark brainliest!!

Answers

Answer:

1 4 6 8 Have a good night ✨ ☺

They are all exponential functions

Can someone help me with 3 and 4

Answers

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

What is the equation for the line in slope-intercept form?



Enter your answer in the box. _____

Answers

4

Step-by-step explanation:

so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.

Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?

Answers

Answer:

i. $375

ii, $2875

Step-by-step explanation:

Given

Princinpal=  $2,500

rate= 7.5%

time= 2 years

Required,

The simple interest, and the final amount

Step two:

SI= PRT/100

SI= 2500*7.5*2/100

SI=37500/100

SI=$375

The simple interest is $375

And the final amount = $2,500 +$375= $2875

the parametric equations x = square root t, y= 3t - 4 for t in [ 0,4] define a plane curve

Answers

Answer:

a) We kindly invite you to read the explanation and check the image attached below for further details.

b) The rectangular equation is [tex]y = 3\cdot x^{2}-4[/tex].

Step-by-step explanation:

a) Let [tex]x = \sqrt{t}[/tex] and [tex]y = 3\cdot t -4[/tex] for [tex]t\in[0,4][/tex]. We proceed to graph the expression with the help of a graphing tool. In this case, the tool Desmos is used and the result is presented below.

b) The rectangular equation for the curve is:

[tex]t = x^{2}[/tex] (1)

[tex]y = 3\cdot t - 4[/tex] (2)

By applying (1) in (2), we get the following equation in rectangular form:

[tex]y = 3\cdot x^{2}-4[/tex]

The net change for a certain stock is the dollar value change in the
stock's closing price from the previous day's closing price. The net changes of three
stocks were -3, 1, and -2. Which net change has the greatest absolute value?

Answers

Answer:

-3

Step-by-step explanation:

Just put that trust me

please help me!!!
asap please please please

Answers

Answer:

I'm pretty sure its the 3rd answer

Answer:C

Step-by-step explanation:

For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares

Please help me 20 points

Answers

Answer:

sureeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

it's actually 10 points

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? use 3.14







3.61

4.15

16.61

66.44

Answers

Answer:

4.15

Step-by-step explanation:

3.78÷15=? Show the work please.

Answers

Answer:

how would you show work?

the answer is 0.252

Step-by-step explanation:

Answer:

0.252

__________________________________________________________

We have to evaluate the expression:

3.78/15

Evaluation:

We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out

So, multiplying numerator and the denominator by 100

[tex]\frac{3.78 * 100}{15 * 100}[/tex]

[tex]\frac{378}{15 * 100}[/tex]

Since 15*25 is 375, we will rewrite the numerator as:

[tex]\frac{375 + 3}{15 * 100}[/tex]

Now, we can split it into 2 separate fractions:

[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]

This new equation is the same as the one before as it can easily be changed to that

Since 15*25 is 375 and 3*5 is 15:

[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]

Since 25*4 is 100:

[tex]\frac{1}{4}+\frac{1}{500}[/tex]

0.25 + 0.002

0.252

Hence, 3.78/15 is 0.252

what is 5 divided by 5

Answers

Answer:

1

Step-by-step explanation:

You have 5 jelly beans and 4 imaginary friends

You have to split the jellybeans between yourself and your pretend friends.

Each of you gets 1 jellybean

(Except you get all the jellybeans because your friends don't exist)

Hope this helps :)

Which table represents a linear function?

Answers

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.

How many centimeters tall is Brooke’s bean plant?

Answers

Answer:31.75 centimeters

Step-by-step explanation:

I think it’s gonna be 31.75

What is the quotient of 1414 divided by 32 and written in a mixed fraction

Answers

Answer:

44  3/16

Step-by-step explanation:

1414 ÷ 32 = 44.1875

[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.

Hope this helps!

If you need work let me know!

The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation
tells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5

Answers

Answer:r=2.5m+3.5

Step-by-step explanation:

the answer is 2.5m + 3.5 because we don't know how many miles the taxi driver drove

I need help on both these questions

Answers

a is 38720 i think.

are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither

Answers

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]

[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]

[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]

[tex]6x+2y=-2[/tex]

[tex]-[/tex]

[tex]\underline{6x-3y=-12}[/tex]

[tex]5y=10[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]

solving 5y = 10 for y

[tex]5y=10[/tex]

Divide both sides by 5

[tex]\frac{5y}{5}=\frac{10}{5}[/tex]

simplify

[tex]y=2[/tex]

[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]

[tex]6x-3\cdot \:2=-12[/tex]

[tex]6x-6=-12[/tex]

Adding 6 to both sides

[tex]6x-6+6=-12+6[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]

[tex]x=-1[/tex]

Therefore, the solution to the system of equations be:

[tex]x=-1,\:y=2[/tex]

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

HELP PLEASE!!
What is Y

Answers

Did you see the SBA said JK element PQRS do you are you can you ask why are you now I wanna ABC BON BON

Does this table of values represent a linear relationship? Explain your answer.

Answers

Answer:

Yes

Step-by-step explanation:

Yes, because there is a constant rate of change. It is and will always be constantly increasing by 1.5.

To be a linear line you have to have a constant rate of change.

A recipe uses 5 cups of flour for every 2 cups of sugar.

How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?

Answers

Answer:

2.5

Step-by-step explanation:

5 divided by 2= 2.5

Answer:

2.5

Step-by-step explanation:

Please I need this ASAP

Answers

Answer:

Step-by-step explanation:

Where is Ac leath

Answer:

26 cm

Step-by-step explanation:

just use Pythagoras theorem

c2 = a2 + b2

c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

c2 = 100 + 576

c2 = 676

shift the square to the other side and it becomes a square root

c = [tex]\sqrt{676}[/tex]

c = 26

AC = 26 cm.

the distance between -3.17 and 0 on a number line is 3.17 units?

Answers

Answer:

Yes

Step-by-step explanation:

The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.

Determined to find the slope
(1 7K), and (-3,5K)​

Answers

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

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