Algebra 2 Help: Gas Volume Variation Problem & Solutions

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    Algebra Algebra 2
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Homework Help Overview

The problem involves the relationship between the volume of a gas, its temperature in Kelvin, and its pressure, focusing on direct and inverse variation. The original poster presents a specific scenario with given values and seeks to establish a variation equation and calculate a new volume under different conditions.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to derive a variation equation based on the provided conditions and checks the correctness of their calculations. Some participants question the formulation of the equation, particularly the proportionality aspects.

Discussion Status

There has been some back-and-forth regarding the correctness of the proposed variation equation. Participants have confirmed some parts of the original poster's answers while also pointing out discrepancies. The discussion is ongoing, with participants providing feedback and corrections.

Contextual Notes

There is mention of difficulties with formatting equations in LaTeX, which may have affected the clarity of the responses. The original poster is also expressing a desire for improvement in their mathematical skills.

GLprincess02
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A problem on my homework reads like this:

The volume of a gas varies directly as it's temperature measured in degrees Kelvin and inversely as its pressure. When the temperature of a certain gas is 250 degrees K and its pressure is 76.2 cm of mercury, its volume in 750 cm cubed.
a) Find the constant variation.
b) Write a variation equation that models the situation.
c) What would the volume of the gas be if its temp. was 300 degrees K and its pressure was 73.66 cm of mercury? Write the answer to the nearest cubic cm.

These are the answers I got. Could someone tell me if they're right?
a) k=228.6
b) V = 228.6T divided by P (Sorry, I couldn't get LaTeX to work)
c) 931 cm cubed
 
Last edited:
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a) and c) are correct.

b) is not correct, because you don't have the volume "inversely" proportional to temperature.
 
Is it right now? I had the LaTeX up before, so it made it look different.
 
There, I got the LaTeX to work, so now my answer to b) looks like this:

[tex]v = \frac{228.6T}{P}[/tex]

If this is not right, I'm not sure how to fix it...
 
Last edited:
that is correct
 
Whoops, I meant to put 228.6. And thanks again. I wish I was as good at math as you are!
 

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