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The pressure of a gas kept in an isother...

The pressure of a gas kept in an isothermal container is `200Kpa`. If half the gas is removed from it, the pressure will be

A

100 kPa

B

200 kPa

C

400 kPa

D

800 kPa

Text Solution

Verified by Experts

The correct Answer is:
A

According to the gas law,
`PV=nRT`
`PV=((N)/(N_(A))RT)impliesP=N.((RT)/(N_(A)))((1)/(V))`
For an isothermal container, T is constant and so is V. R is gas constant and `N_(A)` is Avogadro.s number.
Thus `PpropN`.
Since half the gas is removed, pressure will be halved or `(200kPa)/(2)=100` kPa
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