SOLUTION: A scientist has a beaker contain 20 mL of a solution containing 20% acid. To dilute this pure water is added. a. Write the equation for the concentration in the beaker after add

Algebra.Com
Question 910752: A scientist has a beaker contain 20 mL of a solution containing 20% acid. To dilute this pure water is added.
a. Write the equation for the concentration in the beaker after adding n mL of water.
b. Find the concentration if 10 mL of water is added
c. How much mL of water must be added to equal 4%
d. what is the behavior as n approaches infinity, and what is the physical significance of this?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A scientist has a beaker contain 20 mL of a solution containing 20% acid. To dilute this pure water is added.
a. Write the equation for the concentration in the beaker after adding n mL of water.
Equation:
acid + acid = acid
0.20*20 + 0*n = x(20+n)
----------------------------
b. Find the concentration if 10 mL of water is added
0.20*20 + 0*10 = x(20+10)
Multiply thru by 100 to get::
20*20 + 0 = x(3000)
x = 400/(3000
x = 13.3%
----------------
c. How much mL of water must be added to equal 4%
0.20*20 + 0*n = 0.04(20+n)
20*20 + 0 = 4(20+n)
100 = 20+n
n = 80 ml
------------------
d. what is the behavior as n approaches infinity, and what is the physical significance of this?
As more and more water is added the concentration approaches 0%
=============
Cheers,
Stan H.
-----------------

RELATED QUESTIONS

a chemist has one solution that is 60 mL of a solution that is 50% acid. How much water... (answered by josgarithmetic)
A chemist has a 100 mL beaker of a 60% solution solution. Write an equation for the... (answered by ikleyn)
How much water should be added to 85ml of 40% acid solution to dilute it to a 20% acid... (answered by ewatrrr)
Ruth has a beaker containing a solution of $800$ mL of acid and $200$ mL of water. She... (answered by Edwin McCravy,MathTherapy,ikleyn,mccravyedwin)
A chemist has 100 ml of a solution that is 6% acetic acid. If the chemist adds 20 ml of... (answered by josgarithmetic)
A chemist has 50ml of a solution with 20% concentration of acid. How many ml of pure acid (answered by richwmiller)
A chemist has a 100 mL beaker of a 30% solution. a. Write an equation for the... (answered by stanbon)
A chemist has a 50 mL beaker of a 30% solution. a. Write an equation for the... (answered by josgarithmetic)
20 ml that is 10 percent acid, how much pure water must be added to get a solution that... (answered by jorel1380)