Calc Volume and Temp of gas with changing conditions

In summary, the conversation is about calculating the volume and temperature of helium gas under certain conditions using the equations PV=nRT and P1V1/T1 = P2V2/T2. The student attempted to solve for the volume but made a mistake by using atm instead of pascals for pressure. The book answer for part a is 0.323 m3. Part b has not yet been attempted.
  • #1
EroAlchemist
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Homework Statement



If 18.75 mol of helium gas is at 10.0C and a gauge pressure of 0.035atm, calculate a) the volume of the helium gas under these conditions. b) calculate the temp if the gas is compressed to half the voume at a gauge pressure of 1.00atm.


Homework Equations



PV=nRT
P1V1/T1 = P2V2/T2
Tk = Tc + 273
absolute press = gauge press +1atm


The Attempt at a Solution



V=nRT/P = (18.75mol * 8.315 J/mol K * 283K) / 1.35 atm = 3.27 *10^4 m3

Book answer = 0.323 m3

Haven't yet attempted part b, because haven't yet calculated V correctly. Anybody see where I went wrong? Thanks!
 
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  • #2
Pressure is in pascals not atm. 1 atm = 101325 Pa.
 

1. What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the volume, temperature, and pressure of a gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the ideal gas constant, and T is temperature.

2. How does changing temperature affect the volume of a gas?

According to the ideal gas law, volume is directly proportional to temperature. This means that as the temperature of a gas increases, its volume will also increase, and vice versa. This relationship is known as Charles' Law.

3. How is the volume of a gas affected by changes in pressure?

The ideal gas law states that volume is inversely proportional to pressure. This means that as pressure increases, volume decreases, and vice versa. This relationship is known as Boyle's Law.

4. How do you calculate the volume of a gas at a given temperature and pressure?

To calculate the volume of a gas at a given temperature and pressure, you can use the ideal gas law equation: V = (nRT)/P. Plug in the values for temperature, pressure, and the number of moles of gas, and solve for volume.

5. Can the ideal gas law be used for all gases?

No, the ideal gas law is only accurate for ideal gases, which are gases that follow certain assumptions, such as having negligible volume and no intermolecular forces. Real gases may deviate from the ideal gas law at high pressures or low temperatures.

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