SOLUTION: Reacting with water in an acidic solution at a particular​ temperature, compound A decomposes into compounds B and C according to the law of uninhibited decay. An initial am

Algebra.Com
Question 1131078: Reacting with water in an acidic solution at a particular​ temperature, compound A decomposes into compounds B and C according to the law of uninhibited decay. An initial amount of 0.50 M of compound A decomposes to 0.47 M in 30 minutes. How much of compound A will remain after 2 ​hours? How long will it take until 0.10 M of compound A​ remains?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
A=Aoe^(kt)
0.47=0.50e(k*0.5), using hours as units
0.94=e^0.5k
ln both sides
-0.0619=0.5k
k=-0.1238
for 0.10 M
0.10=0.50e^(-0.1238*t)
0.2=e^(-0.1238t)
-1.61=-0.1238t
t=13.00 hours

RELATED QUESTIONS

I a longer word problem that I have not been able to get the second part answered... (answered by stanbon)
Julia mixes 10 liters of 6% acidic solution with a specific amount of a 12% acidic... (answered by ankor@dixie-net.com)
Water boils as C (degrees Celsius) which is F (degrees Fahrenheit) and freezes at C... (answered by KMST)
what quantity of water should be taken out from a solution to convert 495litres of (answered by josgarithmetic)
The temperature of a patient during an illness is given by the function​ below,... (answered by Boreal)
When water is "broken" into ions, two basic ions are formed: the hydrogen ion (H+) and... (answered by josgarithmetic)
0) 3)The formula for calculating the amount of money returned for an initial deposit (answered by Fermat)
Maybe it is because the problem is so long it is overwhelming or maybe it is just going... (answered by stanbon)
Help!! I know once you get a) you keep uping the power? The formula for calculating... (answered by jim_thompson5910)