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When volume of a system is increased two times and temperature is decreased

When volume of a system is increased two times and temperature is decreased to half of its initial temperature, then pressure becomes

Options

(a) 2 times
(b) 4 times
(c) 1 / 4 time
(d) 1 / 2 time

Correct Answer:

1 / 4 time

Explanation:

For PV = μRT We get P₂ / P₁
=(T₂ / T₁) (V₁ / V₂) = )(T₁ /2) / T₁) V₁ / 2V₁ = 1 / 4 ⇒ P₂ = P₁ / 4.

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