Finding the Mass and Pressure of Air in a Room

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Discussion Overview

The discussion revolves around calculating the mass and pressure of air in a room given specific dimensions and initial conditions, including temperature and pressure. Participants explore the implications of changing temperature on these calculations, focusing on the theoretical aspects of gas behavior in a closed system.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents the dimensions of the room and initial conditions, calculating the volume of air as 364.5 m³ and the mass as 460.5 kg.
  • The same participant expresses uncertainty about how to calculate the new mass and pressure of air when the temperature changes to 24°C, noting the interdependence of mass and pressure.
  • Another participant suggests that if the room is a closed system, the mass remains unchanged despite the temperature change, but acknowledges that in an open system, some mass may be expelled.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the method to calculate the new mass and pressure, and the discussion remains unresolved regarding the implications of the system being closed or open.

Contextual Notes

There are unresolved assumptions regarding the nature of the system (closed vs. open) and how these affect the calculations of mass and pressure. The discussion does not clarify the mathematical steps needed to derive the new values based on the given conditions.

adam112
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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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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?
 
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 ...
 
Nice one, it makes sense now!
 

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