Question

What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30°C?​

Answer 1

Answer:

2.5 bar

Explanation:

let P2 be the pressure required to compress the gas. Therefore, the minimum pressure required is 2.5 hence done!!

Answer 2

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☞ $\sf P_2 = 2.5 \ bar$

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$\huge\sf\blue{Given}$

✭ $\sf P_1 = 1 \ bar$

✭ $\sf V_1 = 500 \ Dm^3$

✭ $\sf V_2 = 200 Dm^3$

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◈ The Pressure required?

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Here we know that,

$\sf\quad$◕ $\sf P_1 = 1 \ bar$

$\sf\quad$◕ $\sf V_1 = 500 \ Dm^3$

$\sf\quad$◕ $\sf V_2 = 200 \ Dm^3$

So no was per the ok my Boyles law,at constant temperature,

$\underline{\boxed{\sf P_1V_1 = P_2V_2}}$

Substituting the given values,

➳ $\sf 1 \times 500 = P_2 \times 200$

➳ $\sf 500 = P_2 \times 200$

➳ $\sf \dfrac{500}{200} = P_2$

➳ $\sf\orange{P_2 = 2.5 \ bar}$

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$\large\bullet\:\underline{\red{\sf Boyle's \ law}}$

»» The volumes of given mass of a gas is inversely proportional to its pressure exerted (at a constant temperature)

»» $\sf V\propto \dfrac{1}{P}$

»» $\sf V = \dfrac{K}{P}$

»» $\sf PV = K(constant)$

The product of the volume and the pressure of a mass of gas is constant at constant temperature

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