A volume of gas at 2.50 atm was measured at 3.70 L. What will be the volume if the pressure is adjusted to 1.90 atm?
a
4.87 L
b
1.28 L
c
17.75 L
d
2.81 L
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, assuming the temperature and the amount of gas remain constant.
We can use the formula: P1 * V1 = P2 * V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = adjusted pressure
V2 = adjusted volume (what we need to find)
Let's substitute the given values into the formula:
2.50 atm * 3.70 L = 1.90 atm * V2
Now, let's solve for V2:
(2.50 atm * 3.70 L) / 1.90 atm = V2
9.25 L = V2
Therefore, the volume will be 9.25 L when the pressure is adjusted to 1.90 atm.
None of the given answer choices matches the calculated value of 9.25 L. Please verify the options again.
Using Boyle's Law, we can solve for the new volume of gas. Boyle's Law states that the pressure and volume of a gas are inversely related when temperature and moles of gas are held constant.
Using the formula P1V1 = P2V2, where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume, we can rearrange the equation to solve for V2.
V2 = (P1V1) / P2
Given:
P1 = 2.50 atm
V1 = 3.70 L
P2 = 1.90 atm
Plugging in the values:
V2 = (2.50 atm * 3.70 L) / 1.90 atm
V2 = 7.375 L / 1.90 atm
V2 = 3.874 L
Rounding to the nearest hundredth, the volume will be approximately 3.87 L.
The correct answer is not listed, as none of the options provided match the calculated volume.
To find the volume of gas when the pressure is adjusted, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional when the temperature is held constant.
The formula for Boyle's Law is:
P1 * V1 = P2 * V2
Where:
P1 is the initial pressure (2.50 atm)
V1 is the initial volume (3.70 L)
P2 is the final pressure (1.90 atm)
V2 is the final volume (we need to find this)
Now we can plug in the values into the formula and solve for V2:
2.50 atm * 3.70 L = 1.90 atm * V2
To find V2, we need to rearrange the equation:
V2 = (2.50 atm * 3.70 L) / 1.90 atm
Calculating this, we get:
V2 = 4.87 L
Therefore, the volume of gas will be 4.87 L when the pressure is adjusted to 1.90 atm. So the correct answer is option a) 4.87 L.