Posted by **Jonah** on Friday, March 22, 2013 at 12:35pm.

A tank contains exactly 10^(6)liters of pure water. 1.0*10^(-6) moles of HCl (g) is bubbled into this tank. What is the resulting pH?

The answer is 7, but I was only able to deduce that based on the fact that water has a neutral pH, but there's a mathematical way to do it and I'm not sure how to go about it.

- Chemistry -
**Simon Mai**, Friday, March 22, 2013 at 4:54pm
I dont know.

- Chemistry -
**DrBob222**, Friday, March 22, 2013 at 6:30pm
HCl is a strong acid meaning that it dissociates 100%; therefore, 1E-6 mol/1E6L = 1E-12M HCl.

HCl ==> H^ + Cl^-

1E-12...0.....0

-1E-12..1E-12..1E-12

..........HOH ==> H^+ + OH^-

I...............1E-12....0

C..................x......x

E..............1E-12+x....x

(H^+)(OH^-) = Kw = 1E-14

(1E-12+x)(x) = 1E-14

Solve the quadratic. I get all of these numbers on the calculator like

9.99995E-8

pH = -log(H^+) = 7.00000.

With no temperature listed I couldn't look up the correct value for Kw at that particular temperature but I think this will do the trick.

## Answer this Question

## Related Questions

- Math - Please HELP Tank A contains four times as much as Tank B. Tank C contains...
- Math - A tank initially contains 50 liters of water. A hose adds water to the ...
- math - Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while ...
- math - A tank contained 22.5m^3 of water. More water was poured into the tank at...
- math - A tank is 1/4 filled of water.when 90 liters of water are pumped into it ...
- math - A rectangular tank of base 2.4 m by 2.8 m and a height of 3 m contain 3,...
- chemistry - Suppose 95.0 mL of HCl gas at 25 ºC and 707 torr is bubbled into 298...
- calculus - Water is being filled into a water tank at 22 liters/second. The base...
- calculus - Water is being filled into a water tank at 22 liters/second. The base...
- chemistry - A ten gallon methane tank contains 1.243 mol of methane at 74°F. ...

More Related Questions