A gas has a volume of 100 ml when the pressure is 735 mm. What volume will the gas occupy at 700 mm ?
assuming the gas is ideal, we can use the formula:
P1*V1 = P2*V2
where
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
substituting:
735 * 100 = 700 * (V2)
V2 = 105 mL
hope this helps~ :)
Well, let's see. We have a gas that's quite the diva, always changing its volume with the pressure. It may be a gas, but boy, does it like to fill up space! Anyway, let's work on answering your question.
Now, if we know that the initial volume of our gas under a pressure of 735 mm is 100 ml, and we want to find out what will happen when the pressure drops to 700 mm, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional.
So, if we set up a proportion, we can solve for the new volume:
(initial pressure) / (new pressure) = (initial volume) / (new volume)
Plugging in the values we have, we get:
735 mm / 700 mm = 100 ml / (new volume)
Now, let's do some math and solve for the new volume. Cross-multiplying, we get:
735 * (new volume) = 700 * 100
Dividing by 735:
(new volume) = (700 * 100) / 735
Calculating that, we have:
(new volume) ≈ 95.24 ml
So there you have it! When the pressure drops to 700 mm, our gas will occupy approximately 95.24 ml. Just remember, this gas may be under pressure, but it's still got a sense of humor!
To solve this problem, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional at a constant temperature. Mathematically, we can express Boyle's Law as P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
Given:
- Initial volume (V₁) = 100 ml
- Initial pressure (P₁) = 735 mm
- Final pressure (P₂) = 700 mm
Using Boyle's Law, we can rearrange the equation as follows:
P₁V₁ = P₂V₂
V₂ = (P₁V₁) / P₂
Plugging in the values from the given information:
V₂ = (735 mm * 100 ml) / 700 mm
V₂ = 105000 ml / 700 mm
V₂ = 150 ml
Therefore, the gas will occupy a volume of 150 ml when the pressure is 700 mm.
To find the volume of the gas at a different pressure, you can use Boyle's Law. Boyle's Law states that the volume and pressure of a gas are inversely proportional when the temperature and amount of gas remain constant.
Boyle’s Law equation can be written as:
P1 * V1 = P2 * V2
where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
In this case, we know that the initial volume (V1) is 100 ml and the initial pressure (P1) is 735 mm, and we need to find the final volume (V2) when the pressure is 700 mm (P2).
Let's plug in the values into Boyle's Law equation and solve for V2:
P1 * V1 = P2 * V2
735 mm * 100 ml = 700 mm * V2
To solve for V2, divide both sides of the equation by 700 mm:
V2 = (735 mm * 100 ml) / 700 mm
V2 = 105000 ml / 700 mm
V2 = 150 ml
Therefore, the gas will occupy a volume of 150 ml when the pressure is 700 mm.