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Avogadro's Law & Gay Lussac's Law

Two closed bu...

Question

Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure $1 a t m$ and temperature $100 k$ are connected through a naraow tube of negligible volume. The temperature of one of the bulb is than raised to $200 K$ .
The final pressure is (report the answer up to two decimals)

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Solution

Total moles before and after will be same.
$\frac{2 P_{1} V}{R T_{1}} = \frac{P_{f} V}{R T_{1}} + \frac{P_{f} V}{R T_{2}}$
$\Rightarrow P_{f} = \frac{2 P_{1} T_{2}}{T_{1} + T_{2}} = \frac{2 \times 1 \times 200}{100 + 200}$
$= \frac{400}{300} = 1.33 a t m$

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