Calculating Mass of Air in an Ideal Gas Tire for Beginners

In summary, to solve for the mass of air in the automobile tire, we can use the ideal gas equation PV = mRT/M. With the given values of pressure, volume, and temperature, and obtaining the molecular mass of air, we can easily solve for the mass. It is important to use the correct units for all values in the equation.
  • #1
johnleno007
1
0
I have no clue how to start this problem can someone help?

Problem: An automobile tire that has V= 0.6 m3 is inflated to a gage pressure of 200 kPA. Calculate the mass of air in the tire if the temperature is 20 Degree Celsius.

Suggestion from my teacher: Air is assumed to be an ideal gas. Use the ideal gas equation (Absolute pressure and absolute temperature (Kelvin). PAtm= 14.7 #/in V= 100 kPA.

Please help
 
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  • #2
johnleno007 said:
I have no clue how to start this problem can someone help?

Problem: An automobile tire that has V= 0.6 m3 is inflated to a gage pressure of 200 kPA. Calculate the mass of air in the tire if the temperature is 20 Degree Celsius.

Suggestion from my teacher: Air is assumed to be an ideal gas. Use the ideal gas equation (Absolute pressure and absolute temperature (Kelvin). PAtm= 14.7 #/in V= 100 kPA.

Please help

PV = mRT/M

You know the pressure (P), the volume (V), the temperature (T) and can easily obtain the molecular mass (M) of air. You can solve for m.

Make sure that you use the correct units for everything.
 

FAQ: Calculating Mass of Air in an Ideal Gas Tire for Beginners

What is the Ideal Gas Equation?

The Ideal Gas Equation, also known as the Universal Gas Law, is a mathematical relationship between the pressure, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. This equation is used to describe the behavior of ideal gases.

What is the significance of the Ideal Gas Equation?

The Ideal Gas Equation is significant because it allows for the prediction of the behavior of ideal gases under different conditions. It helps scientists understand the relationship between the variables of pressure, volume, temperature, and number of moles in a gas and how they affect each other. This equation is also used in many practical applications, such as in the design of engines and other machinery.

How is the Ideal Gas Equation derived?

The Ideal Gas Equation is derived from the combination of three other gas laws: Boyle's Law, Charles's Law, and Avogadro's Law. These laws describe the relationship between pressure and volume, temperature and volume, and number of moles and volume, respectively. By combining these laws and incorporating the gas constant, the Ideal Gas Equation is created.

What are the assumptions made in the Ideal Gas Equation?

The Ideal Gas Equation is based on a few assumptions about the behavior of gases. These include that the gas particles are in constant random motion, that they have negligible volume compared to the volume of the container, and that there are no intermolecular forces between the particles. These assumptions make it an idealized equation and may not accurately describe the behavior of real gases in all situations.

How is the Ideal Gas Equation used in experimental settings?

The Ideal Gas Equation is used in experimental settings to calculate the unknown variable in the equation. For example, if the pressure, volume, and number of moles of a gas are known, the Ideal Gas Equation can be rearranged to solve for temperature. This allows scientists to manipulate the conditions of a gas and observe how it affects the other variables. The Ideal Gas Equation is also used to compare the behavior of real gases to the idealized behavior of ideal gases.

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