Calculations using the Ideal Gas Law

AI Thread Summary
The discussion revolves around using the Ideal Gas Law, represented by the equation PV = nRT, to calculate the number of moles (n) given specific values for volume, pressure, and temperature. The values provided are a volume of 2.1 * 10^-4 m^3, a pressure of 5.3 * 10^5 Pa, and a temperature of 310 K. Participants emphasize the need to rearrange the equation to solve for n, which is the first step in the calculation. Additionally, there is a mention of needing to know the number of atoms in one mole of the gas for further calculations. The conversation highlights the importance of understanding the Ideal Gas Law for solving related problems.
ArcHorizon
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Homework Statement
I got this question from one of the tutors, and they told me that this was a basic question. To me, it seemed to be a hard question, since it was my first time taking lessons for Physics Class.
So, this is the question.

[An ideal monatomic gas is kept in a container of volume 2.1 × 10–4 m3, temperature 310 K and pressure 5.3 × 105 Pa.]
[The volume of the gas is increased to 6.8 × 10–4 m3 at a constant temperature.]

a.i) State what is meant by an ideal gas.
a.ii) Calculate the number of atoms in the gas.
a.iii) Calculate, in J, the internal energy of the gas.
Relevant Equations
Not Sure This will help but
pV = nRT

Pressure in Pa
Volume in m^3
Temperature in kelvin
n is number of moles
R is gas constant
2.1 * 10^-4m/3 Temperature 310K
Pressure: 5.3 * 105 Pa
So the Ideal gas formula is PV = nRT
2.1*10^-4m^3 Times 5.3*105Pa = n * Gas Constant * Temperature
2.1*10^-4m^3 (*) 5.3*105Pa = # of moles *

I'm not sure what I was doing, but the whole equation stuff got hard and I stopped.
I left this question for 3 days, so I thought that I might ask for help.
 
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ArcHorizon said:
2.1*10^-4m^3 Times 5.3*105Pa = n * Gas Constant * Temperature

You must invert the formula finding the number of moles ##n##, and after the number of atoms...
Ssnow
 
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In your ideal gas equation

pV = nRT

all the quantities are given, except n. So solve for n. That is the first step. Now to nswer (ii), you need to know how many atoms thyere are in one mole of the ideal gas. Do you know that?
 
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