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 84 pa at a volume of 51 l. if the volume is expanded to 153 l, what will the new pressure be?

a.
495 pa

b.
153 pa

c.
17 pa

d.
28 pa

From the problem, pressure is inversely proportional to its volume. It can be represented as:

P = k (1/V)

where k is the proportionality constant. To solve the problem, we use the information given as follows:

P1 = k (1/V1)
P2 = k (1/V2)
Since k is equal for both equations, we can substitute one equation to the other. We obtain,

P1V1 = P2V2
84 Pa x 51 L = P2 x 153 L
P2 = 28 Pa

Thus, the answer is D. This can be expected since the volume increased and based from the equation pressure and volume are inversely related.