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
Answer:
5 video games.
Step-by-step explanation:
In order to find the total number of video games that Tracy can buy with the money, she has we first need to find how much money she has left after buying the clothes. To do this we subtract the amount she spent on clothes by the initial total that Christina had.
120 - 68 = 52
Now that we know Christina has a remaining $52, we can divide this amount by the value of each individual game ($10) in order to calculate how many she can actually afford.
52 / 10 = 5.2
Finally, we can see that she can afford to only buy 5 video games.
From what I can tell, this can't be simplified, because there are no factors of 42 that are perfect squares. I would leave it as the square root of 42.
Answer:
Twice the length of the radius
Step-by-step explanation:
A radius by definition is half of the diameter which means the diameter is twice the radius.