Which room contains the greater mass of air?

In summary, the two rooms A and B are the same size and pressure, connected by an open door. However, room A is warmer due to its windows facing the sun. The key factor in determining which room contains a greater mass of air is the number of moles, as it can be multiplied by the molar mass to determine the mass of a molecule or compound. Therefore, room A likely contains a greater mass of air due to its higher temperature.
  • #1
pentazoid
146
0

Homework Statement



Rooms A and B are the same size and are connected by an open door. Room A however, is warmer(perhaps because its windows face the sun). Which room containks the grater mass of air? explain carefully.


Homework Equations



PV=nRT, PV=NkT, N=Na*n


The Attempt at a Solution



Va=Vb=V. The problem didn't mention it but I am also going to assume both rooms have the same pressure, which is the atmospheric pressure. I think the key factor that will determine which room will have the larger mass is the number of moles, since you can multiply the number of moles by the molar mass to get the mass of a molecule or compound. Am I correct?
 
Physics news on Phys.org
  • #2
Yes, that's correct.

P and V are the same for the two rooms. It's n and T that are different.
 

What is the Ideal Gas Law?

The Ideal Gas Law is a fundamental equation in thermodynamics that describes the relationship between the pressure, volume, temperature, and number of moles of an ideal gas. It is written as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

What is the Ideal Gas Law Room Problem?

The Ideal Gas Law Room Problem is a hypothetical scenario where we apply the Ideal Gas Law to calculate the properties of a gas inside a sealed room. It is a common problem used to demonstrate the application of the Ideal Gas Law in real-world situations.

What are the assumptions of the Ideal Gas Law?

The Ideal Gas Law assumes that the gas molecules have negligible volume, do not interact with each other, and have elastic collisions with the walls of the container. It also assumes that the temperature is in Kelvin and the gas is in a closed system.

How do you solve the Ideal Gas Law Room Problem?

To solve the Ideal Gas Law Room Problem, you need to know the values of three of the variables (pressure, volume, temperature, or number of moles) and then use the Ideal Gas Law equation to calculate the fourth variable. You can also rearrange the equation to solve for a specific variable if needed.

What are the units for each variable in the Ideal Gas Law?

The units for pressure are typically in Pascals (Pa) or atmospheres (atm), volume is in cubic meters (m^3), temperature is in Kelvin (K), and the number of moles has no units. The gas constant, R, can have different units depending on the units used for the other variables. It is commonly used in liters (L) and atmospheres (atm) or in joules (J) and Kelvin (K).

Similar threads

Incompatibility between ideal gas equations of state
    • Introductory Physics Homework Help
Replies
2
Views
723
Volumetric flow rate ratio calculation
    • Materials and Chemical Engineering
Replies
1
Views
442
Predicting Remaining Pressure in Compressed Gas Cylinder
    • Mechanical Engineering
Replies
3
Views
954
I Why is estimation of ##\frac{Pv}{RT}=1+BP+CP^2+...## interesting?
    • Classical Physics
Replies
2
Views
569
Ideal Gas Law and Pressure at 80°C
    • Introductory Physics Homework Help
Replies
2
Views
2K
Chemistry Ideal Gas Law and Partial Pressures
    • Biology and Chemistry Homework Help
Replies
16
Views
2K
I Does Callen's Entropy Expression for a General Ideal Gas Contain an Error?
    • Thermodynamics
Replies
19
Views
1K
Engineering Calculating the mass of air in a pressurised air tank
    • Engineering and Comp Sci Homework Help
Replies
14
Views
1K
What does it mean to specify the extensive state of an ideal gas?
    • Chemistry
Replies
3
Views
1K
Calculations using the Ideal Gas Law
    • Introductory Physics Homework Help
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top