If the pressure on a 1.04 L sample of gas is doubled at the constant temperature, what will be the new volume of the gas?

To solve this question, we can use Boyle's Law, which states that the product of the initial pressure and volume of a gas is equal to the product of the final pressure and volume, as long as the temperature is constant. Mathematically, this can be represented as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

In this case, we know that the initial volume of the gas is 1.04 L, and the pressure is doubled. Let's assume the initial pressure is P1 and the final pressure is P2:

P1 = Initial pressure (unknown)
V1 = 1.04 L
P2 = 2 * P1 (doubled pressure)
V2 = Final volume (unknown)

Since the temperature is constant, we can apply Boyle's Law:

P1 * V1 = P2 * V2

Substituting the known values:

P1 * 1.04 L = (2 * P1) * V2

Now, we can solve for V2:

1.04 L = 2 P1 * V2 / P1

Simplifying:

1.04 L = 2V2

Dividing both sides by 2:

V2 = 1.04 L / 2

V2 = 0.52 L

Therefore, the new volume of the gas will be 0.52 L when the pressure is doubled at a constant temperature.

To find the new volume of the gas when the pressure is doubled at constant temperature, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional when temperature is held constant.

The formula for Boyle's Law is:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

In this case, we know:
P1 = initial pressure = given pressure
V1 = initial volume = 1.04 L
P2 = final pressure = 2 * given pressure (since the pressure is doubled)
V2 = final volume (what we want to find)

By substituting the given values into the formula, we can solve for V2:

(given pressure) * 1.04 L = (2 * given pressure) * V2

1.04 L = 2 * V2

Divide both sides of the equation by 2:

V2 = 1.04 L / 2

V2 = 0.52 L

Therefore, the new volume of the gas will be 0.52 L when the pressure is doubled at constant temperature.

PV = k.

So pressure goes up, volume goes down (by the same factor).
Or you can work it out.
P1V2 = P2V2