10.The volume V of a given mass of gas varies inversely as the pressure P. When V =2m3 ,P=500 N/m2 .Find the volume when the pressure is 400N/m2 Find the pressure when the volume is 5 m3

Answers

Answer 1

Answer:

[tex]2.5\; \rm m^3[/tex].

Step-by-step explanation:

Let [tex]V_1[/tex] and [tex]P_1[/tex] denote the volume and pressure of this gas before the change. Let [tex]V_2[/tex] and [tex]P_2[/tex]denote the pressure of this gas after the change.

The ratio between the volume of this gas before and after the change would thus be [tex]\displaystyle \frac{V_1}{V_2}[/tex].

The ratio between the pressure of this gas before and after this change would be [tex]\displaystyle \frac{P_1}{P_2}[/tex].

Because the volume of a given mass of (ideal) gas varies inversely with pressure, these two ratios should be reciprocal of each other. That is:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{1}{\displaystyle \displaystyle \left(\frac{P_1}{P_2}\right)}[/tex].

In other words:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{P_2}{P_1}[/tex].

Rearrange and solve for [tex]V_2[/tex], the volume of this gas after the change:

[tex]\displaystyle V_1 = V_2\cdot \left(\frac{P_2}{P_1}\right)[/tex].

[tex]V_2 = \displaystyle V_1 \cdot \left(\frac{P_1}{P_2}\right)[/tex].

From the question:

Volume of this gas before the change: [tex]V_1 = 2\; \rm m^3[/tex].Pressure of this gas before the change: [tex]P_1 = 500\; \rm N \cdot m^{-2}[/tex].Pressure of this gas after the change: [tex]P_2 = 400\; \rm N \cdot m^{-2}[/tex].

Solve for [tex]V_2[/tex]:

[tex]\begin{aligned} V_2 &= V_1 \cdot \left(\frac{P_1}{P_2}\right) \\ &= 2\; \rm m^3 \times \frac{500\; \rm N \cdot m^{-2}}{400\; \rm N \cdot m^{-2}} = 2.5\; \rm m^3\end{aligned}[/tex].


Related Questions

i just need x and y please

Answers

Answer:

Step-by-step explanation:

Since you know both triangles are congruent, you can say that the corresponding sides are equal. For example, you can say:

17x+3 = 57

because they are corresponding sides of both triangles. To further solve the equation:

17x = 54 --> x = 54/17 --> 3 3/17

Same thing for Y. lines PX and FD are congruent, so, you can say:

4y-3 = 54

4y=57

y= 14.25

Let f(x)= x^2 -5x+4 and g(x)=2^x-3

Answers

Answer:

Plug g(x) into all the x values in your f(x) and the answer is 3 because it makes the denominator 1-1 which makes it 0 and is thus discontinuous

Step-by-step explanation:

Which equation represents the graph shown?

Answers

Step-by-step explanation:

The graph is a linear equation starting at 0.

form y = mx + b.

starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.

change in y/change in x is the slope,

and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.

so it's the first answer.

The linear equation of the graph is y = 35x. So, the option first is correct.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.

The graph is a linear equation origin at 0.

Since b = 0, the 2nd and 3rd choices are incorrect.

The slope = change in y/change in x

Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.

so the first answer is correct which is y = 35x.

Learn about linear equations here:

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PLEASE HELP
Giada earns a salary of $42,670 a year and is paid every two weeks. What is her gross pay per pay period?

Answers

Answer:

She would get $1647.2 biweekly.

Step-by-step explanation:

There are 52 weeks in a year.

52 ÷ 2 = 26

Money divided biweekly.

42, 670 ÷ 26 = 1, 641.3

Solve the system of equations by the substitution method.

5x + 10y = 25
2x + 12y = 18

Answers

Answer

5x + 10y = 25    x=1  y=2

2x + 12y = 18    x=3  y=1

plz mark brainliest

also plz try to answer this question

Due Wed 10/21/2020 11:30 po
The length of a rectangle is 3 inches more than the width. The area is 28 square inches. Find the dimensions.
inches.
The length of the rectangle is
inches, while the width is
C
Get Help:
Video
eBook
Points possible: 1
Unlimited attempts.
MA
Submit
11)
/1)
311)
0111

Answers

Answer:

MARK AS BRAINLIST

w = 4

L = 7

Step-by-step explanation:

L = length of rectangle

w = width of rectangle

L = 3 + w

A = 28

A = L*w

=(3+w) * w

28 = 3w + w^2

w^2 + 3w - 28 = 0

w^2 + 7w - 4w - 28 = 0

w ( w + 7 ) - 4 ( w + 7 ) =0

( w - 4 ) ( w + 7 ) = 0

w = 4. and w = -7

take the postive value, w = 4

therefore L= 3+4 = 7

Help please I’m gonna fail

Answers

Answer:

Step-by-step explanation:

1) 0

2) 19

3) -6

4) -27

5) -35

6) 20

7) -75

8) -8

9) 183

10) 0

please give award!


What is the approximate ratio of the diameter of the Sun to the diameter of
Mars?
A. 5 x 10^-3
B. 5 x 10^2
C. 2 x 10^2
D. 2 x 10^3

Answers

not sure how to help because there is no photo

There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each. There are also 4 different meats. She buys One-half of a pound of each. How much total meat and cheese did Yasuko buy at the deli?

Answers

Answer:

Yasuko buys 2.25 pound of cheeses and 6 pound of meats at the deli

Step-by-step explanation:

3 x 3/4 = 2.25 pound cheese

4 x 1.5 = 6 pound of meat

Answer:

4  1/4

Step-by-step explanation:

I did the test

What is The opposite of -4

Answers

The opposite of -4 is 4

Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?

Answers

Answer:

It is 60%

Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%

Thus, the required percent decrease in the price of the skateboard is 40%.

Learn more about percentages here:

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Dave is making lemonade. For each 8 cups of water, he uses 3 cups of lemon juice and 2 cups of sugar. If w the number of cups of water, l is the number of cups of lemon juice, and s is the number of cups of sugar, which equations are correct?
Select all that apply
A. l=3/8w
B. l=3s
C. l=2/3s
D. w=2/8L
E. w=4s

Answers

Answer:

Can someone please help i picked C,A I really dont know so dont copy me someone please help us

Step-by-step explanation:

Which statement can be concluded using the true statements?
If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square.
If a figure is a square, then each of its angles must measure 90 degrees.
If a quadrilaterál has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
If a quadrilateral has 4 equal sides and 4 equal angles, then none of its angles measures 90 degrees.
If all four angles in a quadriateral measure 90 degrees, the quadrilateral is a square.
If all four angles in a quadriateral measure 90 degrees, the quadrilateral cannot be a square.

Answers

Answer:

A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Step-by-step explanation:

just did the unit review on edgenutiy 2020

hope this helps :)

Answer:

A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Hope it helps!! :)

Kate has $7 in her lunch account. She spends $3 each day on lunch for 5 days. What
is the balance of her lunch account after the 5th day?​

Answers

Answer:-7

Step-by-step explanation:

Answer:

$-8

Step-by-step explanation:

Subtract 3 from 7 for the first day. She has $4 left

Subtract 3 from 4 for the second day. She has $1 left

Subtract 3 from 1 for the third day. She has $-2 left

Subtract 3 from -2 for the fourth day. She has $-5 left

Subtract 3 from -5 for the fifth day. She has $-8 left in her lunch account

Given D(5, 7) and E(3, -3), find the midpoint of DE.​

Answers

Answer:

[tex](4,2 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your 2 coordinates into the midpoint formula to find midpoint:

[tex](\frac{5+3}{2},\frac{7-3}{2} )[/tex]

[tex](\frac{8}{2},\frac{4}{2} )[/tex]

[tex](4,2 )[/tex]

14 is no less than 8 times a number x plus 6.

Answers

Answer:

14 (insert less than or equal symbol)8x+6

Hope this helps! i hope the symbol is right!

Please help me solve for angle B!!

Answers

I believe it is 50 degrees

Explanation:

180-115 = 65 degrees

Since the base angles of of an isosceles triangle are equal,

Angle C =angle A= 65 degrees

65 times 2 = 130

180-130=50

50 degrees=measure of angle B

Hope this helps

Can some pleaseeee help me here I don’t really understand (I’ll give a brainliest to the one that’s right :) ITS DUE TODAY

Answers

Answer:

You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.

Answer:

1: <

2: >

3: <

4: <

5: >

6: >

7: _-7_0_5_

8:  _-10_3_10_

10: _-1/2_-8_0_1/2

There are the answers, the only one im not sure about is 10

how will you know that the equation is a quadratic​

Answers

Answer:

A quadratic condition is a condition of the subsequent degree, which means it contains, in any event, one term that is squared. The standard structure is ax² + bx + c = 0 with a, b, and c being constants, or mathematical coefficients, and x is an obscure variable.

To find the quotient Three-fourths divided by one-eighth, multiply Four-thirds by One-eighth. multiply Three-fourths by 8. multiply Four-thirds by 8. multiply Three-fourths by One-eighth.

Answers

Answer:

multiply Three-fourths by 8.

Step-by-step explanation:

Answer: B multiply Three-fourths by 8.

Step-by-step explanation:

Picture attached below. Please help.

Answers

Answer:

i think the answer is -5

Step-by-step explanation:

insert -4 where the x is in the equation and solve

Write the expression as a power of 2, then find its value.
a) 2^4·2

Answers

Step-by-step explanation:

((2^2)^2)*2

=(4^2)*2=16*2=32

What is the expected value of the spinner? And is the game fair? Correct answer gets brainiest!

Answers

Answer:

This game is not fair

Step-by-step explanation:

This game is not fair because there is a 25 percent chance of 8 and about 37 percent chance for 24 and 6

Write a word phrase for each expression. 2(n+1)

Answers

Answer:

A number increased by one multiplied by two.

Two distributed into a number and one.

Step-by-step explanation:

First one is way more likely.

What is the quotient for 3 and 3/4 divided by 5 and 5/8

Answers

Answer:

It's 9 3/8! :)

Step-by-step explanation:

Youssef typed a 36 word paragraph in 2/3 minutes what is his typing speed in words per minute

Answers

36/ 2/3 = 6
Answer:
6 words per minute


Identify the number of decimal places in each factor.

0.47
× 3.2


The number of decimal places in 0.47 is .
The number of decimal places in 3.2 is .
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have decimal places.

Answers

Answer:

Step-by-step explanation:

Identify the number of decimal places in each factor.

    0.47

  × 3.2

The number of decimal places in 0.47 is

✔ 2

.

The number of decimal places in 3.2 is

✔ 1

.

The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have

✔ 3

decimal places.

50 POINTS!!! PLEASE HELPPPPP
Plot 1 2/5, −1/2, and −2 1/10 on the number line.

Answers

Answer:

the answer is -1 1/5

Step-by-step explanation: 7/5

Answer:

-1 1/5

Step-by-step explanation:

The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a
year ago. What is its current value?​

Answers

Answer:

29,205

Step-by-step explanation:

100% - 17.5% = 82.5%

82.5% * 35,400 = answer

make percent a decimal

.825 * 35,400 = 29,205

29,205 is answer

The required current value of the ambulance is given as $29,205.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a year ago.

Current price = 35400[1 - 0.175]
Current price =  $29,205

Thus, the required current value of the ambulance is given as $29,205.

Learn more about percentages here:

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1. In the multiplication problem shown below, label
each factor and the product.
5•10• 50


Answers

Answer:

2,500

Step-by-step explanation:

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