How Does CO2 Volume Change When Released to Ambient Air?

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    Co2 Expansion
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To calculate the volume change of CO2 when released to ambient air, the ideal gas law (PV = nRT) is essential, where P is pressure, V is volume, n is the number of moles, R is a constant, and T is temperature in Kelvin. At sea level and room temperature, 44 grams of CO2 occupies approximately 24 liters. The volume of CO2 decreases linearly with pressure and increases with temperature. It's important to note that n refers to the number of moles, not the mass of CO2. Understanding these relationships allows for accurate volume calculations when CO2 is released into the atmosphere.
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I need a formula to figure out the expansion of CO2.
Ex: if I'm at sea level, "room temp", I've got 1cubic foot of CO2 at 120psi, What is the volume when its released to ambient air ?

Can anyone help?

Shawn
 
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Any gas follows a law P V = n R T where P = pressure (pascals) V = volume (m^3), n is the number of moles (44g for CO2), R is a constant 8.3145 J/(mol K) and T is the absolute (kelvin ) temperature.

Alternatively 44g of CO2 occupies 24litres at room temmp/pressure. The volume decreases linearly with pressure and increases linearly with absolute temperature.
 
mgb_phys said:
n is the number of moles (44g for CO2)
That's a little confusing. To clarify, n is not 44g (which is the value of the molar mass).
 
Sorry, yes to make it clearer. n is the number of moles, each mole of CO2 weighs 44g.

But you can work it all out from just knowing that P * V is constant so long as temperature doesn't change.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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