Finding the Mass and Pressure of Air in a Room

In summary: The mass of air in the room(kg) increases by 455.5kg, and the pressure of air in the room (Pa) increases by 29.9 Pa.
  • #1
adam112
5
0
Hi all, I don't know if this is in the right place, but anyway hopefully someone maybe able to help.

Im stuck on a couple of questions I have to answer:

A room has the dimensions 15m long, 7m wide and 3.3m high, Assuming the air in the room is 11degC, 108394Pa and has a gas constant of 0.2870 Kj/kg K, Calculate:

a) The volume of air in the room (m^3) This I have at being 364.5 m^3

b) The mass of air in the room, I have this to be 460.5kg

Now this is the part i am stuck on:

Assume now that the temperature has changed to 24degC, and the gas constant remains constant, calculate

The mass of air in the room(kg)
The pressure of air in the room (Pa)

Im not sure how to go about find these out, because to find the mass you need the pressure and vice versa( or so I understand).

If anyone can enlighten me on how to achieve the unknowns via another method it would be greatly appreciated.

Many thanks.
 
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  • #2
adam112 said:
Hi all, I don't know if this is in the right place, but anyway hopefully someone maybe able to help.

Im stuck on a couple of questions I have to answer:

A room has the dimensions 15m long, 7m wide and 3.3m high, Assuming the air in the room is 11degC, 108394Pa and has a gas constant of 0.2870 Kj/kg K, Calculate:

a) The volume of air in the room (m^3) This I have at being 364.5 m^3

b) The mass of air in the room, I have this to be 460.5kg

Now this is the part i am stuck on:

Assume now that the temperature has changed to 24degC, and the gas constant remains constant, calculate

The mass of air in the room(kg)
The pressure of air in the room (Pa)

Im not sure how to go about find these out, because to find the mass you need the pressure and vice versa( or so I understand).

If anyone can enlighten me on how to achieve the unknowns via another method it would be greatly appreciated.

Many thanks.


You do?
 
  • #3
Assume now that the temperature has changed to 24degC, and the gas constant remains constant, calculate

The mass of air in the room(kg)
The pressure of air in the room (Pa)

PV=nRT
if the room is a closed system, then the mass remains unchanged.
if it is not, some mass of molecules are expelled ...
 
  • #4
Nice one, it makes sense now!
 

FAQ: Finding the Mass and Pressure of Air in a Room

How do you find the mass of air in a room?

To find the mass of air in a room, you can use the ideal gas law, which states that the mass of a gas is equal to its pressure multiplied by its volume and divided by the gas constant and temperature. You can measure the pressure and volume of the room and use the known gas constant and temperature to calculate the mass of air.

What is the unit of measurement for pressure in a room?

The unit of measurement for pressure in a room is typically expressed in pascals (Pa) or kilopascals (kPa). Other common units include pounds per square inch (psi) and atmospheres (atm).

How does temperature affect the pressure and mass of air in a room?

Temperature plays a significant role in determining the pressure and mass of air in a room. As temperature increases, the molecules in the air move faster and collide with the walls of the room more frequently, resulting in higher pressure. Additionally, the ideal gas law states that as temperature increases, the volume of a gas also increases, leading to a decrease in mass per unit volume.

Can you measure the pressure and mass of air in a room without specialized equipment?

While it is possible to estimate the pressure and mass of air in a room without specialized equipment, it is not recommended. Accurate measurements require specialized tools such as a pressure gauge and a thermometer. Trying to estimate these values without proper equipment can lead to incorrect results.

Why is it important to know the mass and pressure of air in a room?

Knowing the mass and pressure of air in a room is crucial for various reasons. It can help in determining the air quality and ventilation of the room, which is essential for maintaining a healthy and comfortable environment. Additionally, it is necessary for understanding the behavior of gases and for designing and maintaining HVAC systems in buildings.

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