How does the pressure of a gas affect the volume?

Question

The pressure of a 12.0L cntainer of gas increases from 25.0 k Pa to 105 k Pa, the tempeture does not change what's the new volume?

Answer 1

Basic formula

P*V = n * R * T

n, r, and T are the same before and after, so P proportional to 1 / V

P = 4.2 times as much, before and after (105kPa / 25.0kPa)
so V will be 1/4.2 times less. P is inversley proportional to V.

12.0L * (1 / 4.2) = 2.86 L

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