A sample of air is saturated with benzene (vapour pressure $= 100 m m$ $H g$ at $298 K$ ), $750 m m$ $H g$ pressure. If it is isothermally compressed to one-third of its initial volume, the final pressure of the system is:

2250 t o r r

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2150 t o r r

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2050 t o r r

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1950 t o r r

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Solution

The correct option is A $2250 t o r r$
At isothermal condition,

$P \propto \frac{1}{V}$

So, if the volume is reduced to $1 / 3^{r d}$ of the initial volume, then the pressure will increase three times.

Initial pressure $= 750 m m H g$

Final pressure $= 3 \times 750 m m H g$

$\Rightarrow 2250 m m H g \approx 2250 t o r r$ .

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A sample of air is saturated with benzene (vapour pressure =100mm Hg at 298K), 750mm Hg pressure. If it is isothermally compressed to one-third of its initial volume, the final pressure of the system is:

The correct option is A 2250 torrAt isothermal condition,P∝1VSo, if the volume is reduced to 1/3rd of the initial volume, then the pressure will increase three times.Initial pressure =750 mmHgFinal pressure =3×750 mmHg⇒2250 mmHg≈2250 torr .

A sample of air is saturated with benzene (vapour pressure $= 100 m m$ $H g$ at $298 K$ ), $750 m m$ $H g$ pressure. If it is isothermally compressed to one-third of its initial volume, the final pressure of the system is: