# Chemistry

posted by .

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 -

I don't know.

• Chemistry -

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.

## Similar Questions

1. ### math

Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing …
2. ### calculus

Water is being filled into a water tank at 22 liters/second. The base of the tank has dimensions w = 1 meter and L = 2 meter . What is the rate of change of the height of water in the tank?
3. ### calculus

Water is being filled into a water tank at 22 liters/second. The base of the tank has dimensions w = 1 meter and L = 2 meter . What is the rate of change of the height of water in the tank?
4. ### Math

A tank initially contains 50 liters of water. A hose adds water to the tank at a rate of 2 liters per minute. Write a linear equation for the amount of water in the tank, W, liters in terms of t, minutes. Then use your equation to …
5. ### Math

Please HELP Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?
6. ### chemistry

Suppose 95.0 mL of HCl gas at 25 ÂșC and 707 torr is bubbled into 298 mL of pure water. What will be the pH of the resulting solution, assuming all the HCl dissolves in the water?
7. ### math

A tank is 1/4 filled of water.when 90 liters of water are pumped into it the tank becomes 3/4 full.how much water in liters does the tank hold?
8. ### math

A rectangular tank of base 2.4 m by 2.8 m and a height of 3 m contain 3,600 liters of water initially. Water flows into the tank at the rate of 0.5 liters per second Calculate the time in hours and minutes, required to fill the tank
9. ### math

A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at the end of 30 minutes. What is the capacity of the tank in tank?
10. ### ordinary differential equation

A contains 200 liters of solution in which is dissolved 40 kg of salt. Tank B contains 400 liters of solution in which are dissolved 80 kg of salt. Pure water flows into tank A at rate of 10 liters per second. There is a drain at the …

More Similar Questions