1. Tardigrade
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  3. Chemistry
  4. 1000 ml of a gas A at 600 torr and 500 ml of gas B at 800 torr are placed in a 2 L flask. The final pressure will be

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Q. $1000\, ml$ of a gas $A$ at $600\, torr$ and $500\, ml$ of gas $B$ at $800\, torr$ are placed in a $2\, L$ flask. The final pressure will be

States of Matter

Solution:

From Dalton’s partial pressure law
$P_{1}=\frac{1000}{1500} \times600+\frac{500}{1500}\times800$
$=400+\frac{800}{3}=\frac{2000}{3}$ torr
$V_{1}=1500\,mL$
$P_{2}=$ ? $V_{2}=2L =2000\,mL$
From $P \propto\frac{1}{V}$
$\frac{P_{1}}{P_{2}}=\frac{V_{2}}{V_{1}}$=
$\Rightarrow \frac{2000 3}{P_{2}}=\frac{2000}{1500}$
$\Rightarrow P_{2}=\frac{1500}{3}=500$ torr