Solving Ideal Gas Law: Find Final Volume of Helium

In summary, the ideal gas law is a mathematical equation (PV = nRT) that relates the pressure, volume, temperature, and amount of a gas in a closed system. To solve for the final volume of helium using the ideal gas law, you must rearrange the equation to solve for V and then plug in the values for n, R, T, and P. The gas constant (R) is a proportionality constant with units of L·atm/mol·K, and it depends on the units used for pressure, volume, temperature, and amount of gas. The ideal gas law can be applied to most gases at low pressures and high temperatures, but it becomes less accurate at high pressures and low temperatures, and may not
  • #1
Xamfy19
60
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Given: R=8.31451 J/(K*mol)

Two moles of helium gas initially at 187 K and 0.33 atm are compressed isothermally to 0.57 atm.
Find the final volume of the gas. Assume the helium to behave as an ideal gas. Answer in units of m^3.

I've tried this many many times and i keep getting 5.455 which is not right. can someone please help? Thanks
 
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  • #2
Check your powers of ten (decimal placements).
 
  • #3
thanks alot

I got it thanks.
 

What is the ideal gas law?

The ideal gas law is a mathematical equation that relates the pressure, volume, temperature, and amount of a gas in a closed system. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature.

How do I solve for final volume of helium using the ideal gas law?

To solve for the final volume of helium, you will need to rearrange the ideal gas law equation to solve for V. This will give you the equation V = nRT/P. You will then need to plug in the values for n, R, T, and P and solve for V. Make sure all units are consistent in the calculation.

What is the gas constant (R) and what are its units?

The gas constant, denoted by R, is a proportionality constant in the ideal gas law equation. Its value depends on the units used for pressure, volume, temperature, and amount of gas. The most commonly used value for R is 0.082 L·atm/mol·K, where L is liters, atm is atmospheres, mol is moles, and K is Kelvin.

What are the units for pressure, volume, temperature, and amount of gas in the ideal gas law equation?

The units for pressure are typically atmospheres (atm) or kilopascals (kPa). The units for volume are typically liters (L) or cubic meters (m^3). The units for temperature are typically Kelvin (K) or degrees Celsius (°C). The units for amount of gas are typically moles (mol).

Can the ideal gas law be applied to all gases?

The ideal gas law is a good approximation for most gases at low pressures and high temperatures. However, it becomes less accurate at high pressures and low temperatures. Additionally, some gases, such as real gases, may not follow the ideal gas law exactly. Therefore, the ideal gas law should be used with caution and only for gases that behave ideally under the given conditions.

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