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# An ideal gas at pressure

Question:

An ideal gas at pressure $2.5 \times 10^{5} \mathrm{~Pa}$ and temperature $300 \mathrm{~K}$ occupies $100 \mathrm{cc}$. It is adiabatically compressed to half its original volume. Calculate

(a) the final pressure,

(b) the final temperature and

(c) the work done by the gas in the process. Take $\gamma=1.5$.

Solution: