If a sample of gas occupies 2.1 ml at a pressure of 896 torr, what volume (ml) will it occupy at a pressure of 316.8 torr.
I really need an answer, but also please show me how to work this problem.
p1v1 = p2v2
To solve this problem, we can use the combined gas law formula, which relates the initial and final conditions of pressure and volume for a given amount of gas. The formula is:
(P1 * V1) / T1 = (P2 * V2) / T2
Where:
P1 = initial pressure (in this case, 896 torr)
V1 = initial volume (in this case, 2.1 ml)
T1 = initial temperature (which is not given)
P2 = final pressure (in this case, 316.8 torr)
V2 = final volume (what we need to find)
T2 = final temperature (which is not given)
Since the question does not provide temperature information, we can assume that the temperature remains constant (which is often the assumption for gas laws when temperature is not specified). Therefore, we can cancel out the temperature terms:
(P1 * V1) = (P2 * V2)
Now, we can plug in the given values and solve for V2:
(896 torr * 2.1 ml) = (316.8 torr * V2)
Simplifying the equation:
1879.6 = 316.8 * V2
Dividing both sides of the equation by 316.8 to solve for V2:
V2 = 1879.6 / 316.8
V2 ≈ 5.92 ml
Therefore, the volume of the gas at a pressure of 316.8 torr would be approximately 5.92 ml.
To solve this problem, you can use Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the pressure and volume are inversely proportional.
Boyle's Law equation can be written as:
P1 * V1 = P2 * V2
Where:
P1 and V1 are the initial pressure and volume
P2 and V2 are the final pressure and volume
In this case, P1 is 896 torr, V1 is 2.1 ml, and P2 is 316.8 torr. We can let V2 be the unknown value we want to find.
Plugging our values into the equation, we get:
(896 torr) * (2.1 ml) = (316.8 torr) * (V2)
Now, let's solve the equation to find the value of V2.
First, divide both sides of the equation by 316.8 torr:
(896 torr * 2.1 ml) / 316.8 torr = V2
Now, do the multiplication on the left side:
1881.6 torr * ml / 316.8 torr = V2
Divide these two values to get V2:
V2 ≈ 5.94 ml
So, the volume of the gas sample at a pressure of 316.8 torr will be approximately 5.94 ml.