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Oksanka [162]
3 years ago
15

Assume a gas is at a constant temperature. If its initial pressure, final pressure, and initial volume are 150 kPa, 200 kPa, and

25 cm3, respectively, what is its final volume?
A.
20 cm3

B.
25 cm3

C.
33.33 cm3

D.
18.75 cm3

E.
22.5 cm3
Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

we know that

The Boyle's law (Ideal gas law) states that Where temperature remains constant, the pressure is inversely proportional to volume.

so

P1 *V1 = P2 *V2  

In this problem we have

P1=150 kPa

P2=200 kPa

V1=25 cm³

substitute and solve for V2

(150)(25)= 200*V2

V2=(150)(25)/200=18.75\ cm^{3}    

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vlada-n [284]

Answer:

1. x = -1.5y

2. 5 (2x-3)

3. p = 4

Step-by-step explanation:

1) Simplifying

7x + 2y + -3x + 4y = 0

Reorder the terms:

7x + -3x + 2y + 4y = 0

Combine like terms: 7x + -3x = 4x

4x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

4x + 6y = 0

Solving

4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 0 + -6y

4x = 0 + -6y

Remove the zero:

4x = -6y

Divide each side by '4'.

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Simplifying

x = -1.5y

2)

Common factor

10x - 15

5 (2x-3)

3) Simplifying

5p = 3p + 8

Reorder the terms:

5p = 8 + 3p

Solving

5p = 8 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

5p + -3p = 8 + 3p + -3p

Combine like terms: 5p + -3p = 2p

2p = 8 + 3p + -3p

Combine like terms: 3p + -3p = 0

2p = 8 + 0

2p = 8

Divide each side by '2'.

p = 4

Simplifying

p = 4

7 0
3 years ago
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goblinko [34]

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

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Plug into first equation to find y:

5(2) + y = 9

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The answer is (2,-1)

7 0
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Answer:

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Step-by-step explanation:

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3 years ago
Select the correct answer.
vesna_86 [32]

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Hope this helps! :)

7 0
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Answer:

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Step-by-step explanation:

2x^3

substitute in x=3

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