What is the final pressure of argon gas after isochoric heating?

In summary, the problem involves calculating the final pressure of argon gas after undergoing isochoric heating in a 90 cm3 container from 10 oC to 400 oC. Using the ideal gas law, the final pressure is determined to be approximately 33,571.932 kPa. This may seem high, but considering the small volume and high temperature, it is a reasonable result.
  • #1
kristibella
18
0

Homework Statement


0.54 mol of argon gas is admitted to an evacuated 90 cm3 container at 10 o C. The gas then undergoes an isochoric heating to a temperature of 400 oC.

What is the final pressure of the gas (in kPa)?

Homework Equations


PV = nRT

The Attempt at a Solution


P(9.0x10-5 m3) = (.54 mol)(8.314 m3Pa/K mol)(673 K)
P = 33,571,932 Pa = 33,571.932 kPa

This number just seems way too large to me, which is why I'm questioning it. Thanks for any help you can provide!
 
Physics news on Phys.org
  • #2
Convert it to atmospheres or psi if you want...
 
  • #3
That's a correct answer. 90 mL for half a mole of gas is a pretty small volume even at room temperature (remember at STP it should occupy about 12L).
 

Related to What is the final pressure of argon gas after isochoric heating?

1. What is the formula for calculating the pressure of argon gas?

The formula for calculating the pressure of a gas is P = nRT/V, where P is pressure, n is the number of moles, R is the gas constant, T is the temperature in Kelvin, and V is the volume.

2. How do I convert the pressure of argon gas from one unit to another?

To convert pressure from one unit to another, you can use the conversion factor 1 atm = 101325 Pa. For example, to convert from atm to Pa, multiply the pressure by 101325. To convert from Pa to atm, divide the pressure by 101325.

3. What is the standard pressure for argon gas?

The standard pressure for argon gas is 1 atmosphere (atm) or 101.325 kilopascals (kPa).

4. How does temperature affect the pressure of argon gas?

According to Charles' Law, the pressure of a gas is directly proportional to its temperature. This means that as the temperature of argon gas increases, its pressure will also increase, and vice versa.

5. What is the ideal gas law and how is it related to the pressure of argon gas?

The ideal gas law is the formula PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature in Kelvin. This law describes the relationship between these variables in an ideal gas. The pressure of argon gas can be calculated using this law by rearranging the formula to solve for P.

Similar threads

Chemistry Finding rate constant from pressure change in an experiment
    • Biology and Chemistry Homework Help
Replies
2
Views
1K
What is the Relationship Between Gas Pressure and Fluid Column Height?
    • Biology and Chemistry Homework Help
Replies
14
Views
2K
Predicting Remaining Pressure in Compressed Gas Cylinder
    • Mechanical Engineering
Replies
3
Views
1K
MHB What is the final pressure of helium and neon gas mixture in this case?
    • General Math
Replies
1
Views
693
How do you determine the volume of gas in a container?
    • Biology and Chemistry Homework Help
Replies
2
Views
12K
Work and Volume in Adiabatic Expansion
    • Biology and Chemistry Homework Help
Replies
11
Views
3K
Thermodynamics - Temperature change of Argon
    • Introductory Physics Homework Help
Replies
19
Views
2K
Gas Laws - What is the final pressure in the system?
    • Biology and Chemistry Homework Help
Replies
8
Views
6K
Final Pressure of Gas Mixture After Reaction Completed
    • Biology and Chemistry Homework Help
Replies
10
Views
4K
Work done by Octane Combustion Engine
    • Biology and Chemistry Homework Help
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top