Heat supplied to the gas = Q = 743 Joules
Work applied to the gas = W = -743 Joules
Additional explanation
The Ideal Gas Law that should be remembered is:
P = Pressure (Pa)
V = Volume (m³)
n = number of moles (moles)
R = Gas Constant (8.314 J/mol K)
T = Absolute Temperature (K)
Now, let’s proceed with the problem!
Given:
Initial volume of the gas = V₁ = 2.00 L
Initial pressure of the gas = P₁ = 5.00 atm
Unknown:
Work done on the gas = W =?
Heat supplied to the gas = Q =?
Solution:
Step A:
An ideal gas expands isothermally:
Next, we will determine the work performed on the gas:
Step B:
By utilizing the methodology mentioned earlier:
Next, we will ascertain the work completed on the gas:
Ultimately, we can calculate the total work done and heat supplied as follows:
Learn more
- Minimum Coefficient of Static Friction:
- The Pressure In A Sealed Plastic Container:
- Effect of Earth’s Gravity on Objects:
Answer details
Grade: High School
Subject: Physics
Chapter: Pressure
