Ncert Exercises & Solutions

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

Given,

Initial pressure, p₁ = 1 bar

Initial volume, V₁ = 500 dm3

Final volume, V₂ = 200 dm3
Since the temperature remains constant, the final pressure (p₂) can be calculated using Boyle’s law.

According to Boyle’s law,

$p_{1} V_{1} = p_{2} V_{2}$
$\Rightarrow p_{2} = \frac{p_{1} V_{1}}{V_{2}}$
$= \frac{1 \times 500}{200} b a r$
$= 2.5 b a r$

Therefore, the minimum pressure required is 2.5 bar.

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