Final Pressure in 5L & 10L Tanks: PV = nRT

In summary, the equation PV = nRT is known as the ideal gas law and is used to calculate the relationships between pressure (P), volume (V), number of moles (n), and temperature (T) of a gas. To calculate the final pressure in a 5L tank, you will need to know the number of moles of gas (n), the temperature of the gas (T), and the gas constant (R). The ideal gas law can be used for all types of gases, but may not be accurate for gases under extreme conditions. According to the ideal gas law, there is an inverse relationship between volume and pressure, and a direct relationship between temperature and pressure. This is because as the temperature increases, the
  • #1
gwiber
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1. The valve between a 5 liter tank in which the gas pressure is 911.925 kPa and a 10 liter tank containing gas at 4560 torr is turned open and equilibrium is established at constant temperature. What is the final pressure in the two tanks in atmospheres?



2. PV = nRT



The Attempt at a Solution

 
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  • #2
This is solved using weighted averages. The final pressure in the 2 tanks is the weighted average of the initial pressure. The weights come from the volumes: V1/(V1+V2) for tank 1, V2/(V1+V2) for tank 2.
 

1. What is the equation PV = nRT used for?

The equation PV = nRT is known as the ideal gas law and is used to calculate the relationships between pressure (P), volume (V), number of moles (n), and temperature (T) of a gas.

2. How do I calculate the final pressure in a 5L tank using the ideal gas law?

To calculate the final pressure in a 5L tank, you will need to know the number of moles of gas (n), the temperature of the gas (T), and the gas constant (R). Once you have these values, you can rearrange the equation PV = nRT to solve for P, which will give you the final pressure in the tank.

3. Can the ideal gas law be used for all types of gases?

The ideal gas law is a simplified equation that assumes certain conditions, such as low pressure and high temperature. It can be used for all types of gases, but may not be accurate for gases under extreme conditions.

4. How does the volume of the tank affect the final pressure?

According to the ideal gas law, there is an inverse relationship between volume and pressure. This means that as the volume of the tank increases, the pressure will decrease, and vice versa.

5. How does the temperature of the gas affect the final pressure in the tank?

The ideal gas law shows that there is a direct relationship between temperature and pressure. As the temperature of the gas increases, the pressure will also increase, and vice versa. This is because as the temperature increases, the gas molecules will have more energy and will collide more frequently with the walls of the tank, resulting in a higher pressure.

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