Assuming that temperature remains constant, calculate the final volume

Pressure of a sample of 45 L of gas is increased and the gas goes from 100 kPa to 125 kPa;

P1V1 = P2V2

at a pressure of 405kpa the volume of gas is 6.00cm3

To calculate the final volume of the gas, we can use the combined gas law equation. The combined gas law is an expression that relates the initial and final pressure and volume of a gas when the temperature remains constant.

The combined gas law can be written as:
(P1 * V1) / T1 = (P2 * V2) / T2,

where:
P1 is the initial pressure,
V1 is the initial volume,
T1 is the initial temperature (which is constant),
P2 is the final pressure,
V2 is the final volume (what we need to calculate),
and T2 is the final temperature (which is also constant).

In this case, we are assuming that the temperature remains constant, so T1 = T2.

Let's plug in the given values:
P1 = 100 kPa,
V1 = 45 L,
P2 = 125 kPa.

Now we can solve for V2:
(100 kPa * 45 L) / T1 = (125 kPa * V2) / T2.

Since T1 = T2, the temperatures cancel out, and we have:
(100 kPa * 45 L) = (125 kPa * V2).

Simplifying further:
4500 = 125V2.

Now we can solve for V2 by isolating it on one side of the equation:
V2 = 4500 / 125.

Calculating this:
V2 = 36 L.

Therefore, the final volume of the gas would be 36 liters.