Question

the pressure, P, of a gas varies inversely with its volume, V. pressure is measured in units of PA. Suppose that a particular amount of gas is initially at a pressure of 126 Pa at a volume of 52 L. If the volume is expanded to 168L, what will be the new pressure?

Answer 1

The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have:

The pressure, P, of a gas varies inversely with its volume, V.

P ∝ 1/V

P = k/V

k is the constant.

If P = 126 Pa and V = 52 L

126 = k/52

k = 6552

P = 6552/V

Plug V = 168 L

P = 6552/168 = 39 Pa

Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.

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