500 cm3 of a gas is collected at 0 degree celcius and at a pressure of 72.0 cm of Mercury.
what is the volume of the gas at the same temperature and at a pressure of 76.0 cm of Mercury?
PV = kT
since T is constant, you just want V such that
76V = 72*500
Well, if only gas could take up as much space as my jokes do! But, back to your question. We can use Boyle's Law to solve this one. Boyle's Law states that the pressure and volume of a gas are inversely proportional at a constant temperature. So, let's do the math!
According to the problem, the initial volume (V1) is 500 cm3, the initial pressure (P1) is 72.0 cmHg, and the final pressure (P2) is 76.0 cmHg.
Using Boyle's Law, we have P1 * V1 = P2 * V2.
Plugging in the values, we get:
72.0 cmHg * 500 cm3 = 76.0 cmHg * V2.
Now, we can solve for V2:
V2 = (72.0 cmHg * 500 cm3) / 76.0 cmHg.
Doing the calculations, the volume of the gas at a pressure of 76.0 cmHg would be approximately 473.68 cm3.
So, the volume of the gas at the same temperature and at a pressure of 76.0 cm of Mercury would be around 473.68 cm3.
To find the volume of the gas at a pressure of 76.0 cm of Mercury, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, assuming constant temperature.
Boyle's Law equation:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure (72.0 cmHg)
V1 = initial volume (500 cm3)
P2 = final pressure (76.0 cmHg)
V2 = final volume (to be determined)
Using the equation, we can solve for V2:
V2 = (P1 * V1) / P2
Substituting the known values:
V2 = (72.0 cmHg * 500 cm3) / 76.0 cmHg
V2 = 36000 cm3 / 76.0 cmHg
V2 = 473.68 cm3
Therefore, the volume of the gas at the same temperature and a pressure of 76.0 cm of Mercury is approximately 473.68 cm3.
To find the volume of the gas at the new pressure, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure at a constant temperature.
Boyle's Law equation: P1V1 = P2V2
Where:
P1 is the initial pressure
V1 is the initial volume
P2 is the final pressure (the pressure at which we want to find the volume)
V2 is the final volume (the volume we want to find)
Let's plug in the given values into the equation:
P1 = 72.0 cm of Mercury
V1 = 500 cm3
P2 = 76.0 cm of Mercury
V2 = ?
Using the equation, we can rearrange it to solve for V2:
V2 = (P1 * V1) / P2
Substituting the values:
V2 = (72.0 cm * 500 cm3) / 76.0 cm
Now we can calculate the volume:
V2 = 3750 cm3 / 76.0
Dividing this gives us:
V2 ≈ 49.34 cm3
Therefore, the volume of the gas at the same temperature and at a pressure of 76.0 cm of Mercury is approximately 49.34 cm3.