Question

Help!

Answer 1

P = k/V

84 = k/51
4,284 = k

P = 4,284 / 153
P = 28Pa

Hope I helped!

Answer 2

Answer:

Inverse variation states:

If $y \propto \frac{1}{x}$

then the equation is in the form of :

$y = \frac{k}{x}$

where, k is the constant of variation.

As per the statement:

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

By inverse variation definition;

$P= \frac{k}{V}$            ....[1]

It is also given that  a particular amount of a gas is initially at a pressure of 84 Pa at a volume of 51 L

⇒P = 84 Pa and V = 51 L

then;

$84= \frac{k}{51}$

⇒$k=84 \cdot 51=4284$

If the volume(V) is expanded to 153 L then find the new pressure.

Using [1] we have;

$P= \frac{4284}{153} =28$ Pa

Therefore, the new pressure be , 128 Pa