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saveliy_v [14]
3 years ago
15

A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Recall the ideal gas law:

<em>P V</em> = <em>n R T</em>

where

<em>P</em> = pressure

<em>V</em> = volume

<em>n</em> = number of gas molecules

<em>R</em> = ideal gas constant

<em>T</em> = temperature

If both <em>n</em> and <em>T</em> are fixed, then <em>n R T</em> is a constant quantity, so for two pressure-volume pairs (<em>P</em>₁, <em>V</em>₁) and (<em>P</em>₂, <em>V</em>₂), you have

<em>P</em>₁ <em>V</em>₁ = <em>P</em>₂ <em>V</em>₂

(since both are equal to <em>n R T </em>)

Solve for <em>V</em>₂ :

<em>V</em>₂ = <em>P</em>₁ <em>V</em>₁ / <em>P</em>₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

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Help please will be marked as brainliest if correct and first person to respond
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Answer: Unlock code = 76

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

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

----------------------------

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

----------------------------

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

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G = 21

----------------------------

Use the same idea for the other equation as well

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5*3 + 5*H = 15 + 45

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H = 9

------------------------------

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