Question

calculate Percentage change in pressure if percentage change in volume is 25%​

Answer 1

The Percentage change in pressure is 20%.

Given:-

The percentage change in volume = 25

To Find:-

The Percentage change in pressure.

Solution:-

We can easily calculate the Percentage change in pressure by using the following steps.

As

The percentage change in volume = 25

According to Charles Law at a constant temperature,

PV = constant

P1V1 = P2V2

Let the initial Volume be V1 and the initial Pressure be P1

Final volume (V2) = (25+100)V1 = 125V1

So,

$P1 \times V1 = P2 \times 125V1$

$P1 = P2 \times \frac{125}{100}$

$P1 = \frac{25}{20} P2$

$P1 = \frac{5}{4} P2$

$P2 = \frac{4}{5} P1$

Percentage change of Pressure = ∆P

$∆P = \frac{P1- P2}{P1} \times 100$

$∆P = \frac{P1 - ( \frac{4}{5}) P1}{P1} \times 100$

$∆P = \frac{1 - 0.8}{1} \times 100$

$∆P = 0.2 \times 100$

$∆P = 20\%$

Hence, The Percentage change in pressure is 20%.

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