Solving Gauge Pressure with Boyle's and Charle's Law

In summary, the conversation discusses the use of Boyle's and Charles's Law to solve for gauge pressure, pg1, in a gas system. The formula (pg1V1)T1=(pg2V2)T2 is mentioned, along with the need to convert temperature to Kelvin when computing for absolute pressure. This is because the laws are derived from the ideal gas formula which uses Kelvin as the unit for temperature.
  • #1
kimkibun
30
1
good day!

i was asked to solve for gauge pressure, pg1, using the combined Boyle's and Charle's Law,

(pg1V1)T1=(pg2V2)T2

where V is the volume of gas and T is the temperature (in °C). now here's my question, we know that in computing for absolute pressure we need to convert the temperature to Kelvin (or Rankine) if the given is in °C, since gauge pressure is the difference between the absolute and atmospheric pressure, do i need to convert the given temperature in °K?

thanks and GB!
 
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  • #2
Yes, you need, because Boyle's and Charle's Law are derived form ideal gas formula (pV=nRT=NkT) where temperatures are given in Kelvins. If you put Celsius you will have different dimensions.
 

1. How do Boyle's and Charles's Law relate to gauge pressure?

Boyle's Law states that at a constant temperature, the volume of a gas is inversely proportional to its pressure. Charles's Law states that at a constant pressure, the volume of a gas is directly proportional to its temperature. Together, these laws can be used to calculate the gauge pressure of a gas.

2. What is the formula for calculating gauge pressure using Boyle's and Charles's Law?

The formula is P = (nRT)/(V + nb), where P is the gauge pressure, n is the number of moles of gas, R is the gas constant, T is the temperature, V is the volume, and b is a constant that depends on the type of gas.

3. How do you determine the values of n, R, and b in the gauge pressure formula?

The value of n can be determined by knowing the amount of gas, usually in moles, present in the system. The value of R is a constant that depends on the units used for pressure, volume, and temperature. The value of b can be found in a table or calculated using the Van der Waals equation.

4. What are some common applications of solving gauge pressure using Boyle's and Charles's Law?

This method is commonly used in industries such as chemistry, physics, engineering, and meteorology to measure and control the pressure of gases in various systems. It is also useful in understanding the behavior of gases in different conditions.

5. Are there any limitations to using Boyle's and Charles's Law to solve for gauge pressure?

Yes, these laws assume ideal gas behavior, which may not be accurate in all situations. They also require constant temperature and pressure, which may not always be the case in real-world scenarios. Additionally, the values of n, R, and b may vary depending on the type of gas being used.

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