A sample of n = 2.00 moles of monoatomic ideal gas expands adiabatically, the work done on the gas is W = -5.00 x 10^3 J. The initial temperature and pressure of the gas are Ti = 600 K and Pi = 4.05 x 10^5 Pa. Calculate: a) the final temperature of the gas; b) the final pressure of the gas. R = 8.314 J/mol K
Added by Meagan F.
Close
Step 1
We know that for an adiabatic process, the equation is: $PV^{\gamma} = constant$, where $\gamma = \frac{C_p}{C_v}$ for a monoatomic ideal gas, and $\gamma = \frac{5}{3}$. Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 80 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
As a 1.00 -mol sample of a monatomic ideal gas expands adiabatically, the work done on it is $-2.50 \times 10^{3} \mathrm{J}$ . The initial temperature and pressure of the gas are 500 $\mathrm{K}$ and 3.60 $\mathrm{atm}$ . Calculate (a) the final temperature and (b) the final pressure.
As a 1.00 -mol sample of a monatomic ideal gas expands adiabatically, the work done on it is $-2500 \mathrm{J}$ . The initial temperature and pressure of the gas are 500 $\mathrm{K}$ and 3.60 $\mathrm{atm}$ . Calculate (a) the final temperature and $(\mathrm{b})$ the final pressure. You may use the result of Problem $43 .$
An ideal diatomic gas expands adiabatically from 0.750 $\mathrm{m}^{3}$ to 1.50 $\mathrm{m}^{3}$ . If the initial pressure and temperature are $1.50 \times 10^{5}$ Pa and 325 $\mathrm{K}$ , respectively, find (a) the number of moles in the gas, (b) the final gas pressure, (c) the final gas temperature, and (d) the work done on the gas.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD