Question

. At N.T.P. volume of a gas is changed to one fourth
volume, at constant temperature then the new
pressure will be :

(1) 2 atm.

(3) 4 atm.
(2) 3atm.
(4) 1 atm.​

Answer 1

The new pressure will be 4 atm.

Explanation:

The Boyle's law states that at constant temperature, the pressure is inversely proportional to the volume.  Mathematically,

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

$P=\dfrac{k}{V}$

$PV=constant$

If volume of a gas is changed to one fourth, V' = V/4

New pressure becomes,

$P'=\dfrac{k}{V'}$

$P'=\dfrac{4k}{V}$

P' = 4 P

So, the new pressure will be 4 atm. Hence, the correct option is (4).

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Boyle's law

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