at 25C and 795 torr, carbon dioxide has a solubility of 0.0356 M in water. What is the solubility at 25 C and 2070 torr? ____ M
I know that at a given temperature, the solubility of a gas in a liquid is directly proportional to its pressure but how would that be set up in an equation..?
You are exactly right. You set it up this way.
0.0356M x (2070 torr/795 torr) = ?
If you want to do real scientifically, the equation is
p = kc.
We evaluate k = p/c and plug in the first set of conditions.
k = 795/0.0356 = 22,331
Then p = kc and solve for c
c = p/k = 2070/22,331 = = ?
You should obtain the same answer.
Hello, I think that this should help.
chem.queensu.ca/people/faculty/mombourquette/firstyrchem/solubility/index.htm
Thanks guys!
Well, it sounds like you're dealing with some gas solubility shenanigans! To set up the equation, you can use the handy-dandy equation known as Henry's law. Henry's law states that the solubility of a gas in a liquid is directly proportional to the pressure of the gas above the liquid.
So, if we let S1 represent the solubility at 795 torr and S2 represent the solubility at 2070 torr, we can set up the equation as follows:
S1/S2 = P1/P2
Where P1 and P2 are the pressures and S1 and S2 are the solubilities. Now, we can plug in the known values:
0.0356 M/S2 = 795 torr/2070 torr
And now, we can solve for S2 by cross multiplying:
S2 = (0.0356 M * 2070 torr) / 795 torr
And if we crunch the numbers, it'll give you the solubility of carbon dioxide at 25°C and 2070 torr. I'm no math whiz, but I believe you'll end up with a number to fill in the blank! Have fun crunching those numbers!
To determine the solubility of carbon dioxide (CO2) in water at a different pressure, you can use the relationship between pressure and solubility.
According to Henry's Law, the solubility of a gas is directly proportional to its partial pressure in a liquid. The equation for Henry's Law is given as:
C = k * P
Where:
C = Concentration or solubility of the gas in the liquid (in this case, CO2 in water)
k = Henry's Law constant or the solubility coefficient at a particular temperature
P = Partial pressure of the gas (in this case, CO2)
To find the solubility at a different pressure, we need to rearrange the equation:
C1 / P1 = C2 / P2
Where:
C1 = Known solubility at the first pressure (0.0356 M)
P1 = Known pressure (795 torr)
C2 = Solubility at the second pressure (what we want to find)
P2 = Second pressure (2070 torr)
Substituting the known values into the equation:
0.0356 M / 795 torr = C2 / 2070 torr
Now, we can solve for C2:
C2 = (0.0356 M / 795 torr) * 2070 torr
Calculating this expression will give you the solubility of carbon dioxide in water at 25°C and 2070 torr.