Evol Reverof: Chapter 5
nice story from my friend...LOL
WeLcOmE~!
Q:-
Solve between (0, 2pi): cos2x +cos4x = 0
A:-
0 = cos2x + cos4x = cos2x + 2(cos2x)^2 - 1
because cos2a = cos^2 a - sin^2 a = cos^2 a - (1 - cos^2 a)
Put A=cos2x.
Then from the above:
0 = 2A^2 + A - 1 = (2A - 1)(A + 1)
and this implies
A = -1 or A = 1/2
ie
cos2x = -1 or cos2x = 1/2
cos2x = -1 implies:
2x = pi or 3pi, so x=pi/2 or 3pi/2
cos2x = 1/2 implies:
2x = pi/3 or 5pi/3 or 7pi/3 or 11pi/3
so x=pi/6 or 5pi/6 or 7pi/6 or 11pi/6
So all the solutions are:
pi/6, pi/2, 5pi/6, 7pi/6, 3pi/2, 11pi/6
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Q:-
std enthalpy is -224.4 kJ
density is .78g/mol
36,000g * 4.184 * 75 = 11296.8 kJ required to heat the water
which leaves (224.4*.15)x = 11296.8 or x = 335.62 moles of C7H16
335.62 moles * 100 g/mol = 33562 g / .78 = 43027.56 mL of C7H16 required to heat the water...
Except the answer 43027.56 is not right...
Here is the problem:
When backpacking in the wilderness, hikers often boil water to sterilize it for drinking.
Suppose that you are planning a backpacking trip and will need to boil 36 L of water for your group.
What volume of fuel should you bring? Assume each of the following:
the fuel has an average formula of C7H16 ; 15% of the heat generated from combustion goes
to heat the water (the rest is lost to the surroundings);
the density of the fuel is 0.78 g/mL; the initial temperature
of the water is 25.0C; and the standard enthalpy of
formation of C7H16 is -224.4 kJ/mol..
i'm still missing something subtle... I come out to 43000 mL of C7H16 each time....
A:-
Your problem is the you supplied the dHf of heptane and NOT the heat of combustion!
-224.4 kJ/mole vs -44.566MJ/kg is a BIG difference.
I thought 224 kJ for combustion was small but did not check it out earlier.
Let UNITs guide you; always USE THEM in your calculation to prevent errors
Firstly, the eqn: C7H16 + 11O2 -----> 7CO2 + 8H2O + heat
dH comb/ mole C7H16 = 44.566 MJ /kg C7H16 = 44.566 kJ/g
dH comb J /ml C7H16 = 44.566kJ/ g * 0.78 g/ml = ?? 34.76 kJ/ml
heat needed, if 100% eff = 36000 g * 4.184 J/gC * 75 C = ??
11.3 MJ
if 15% eff then heat needed = 100% eff/15% * heat needed if 100% = 75.3 MJ
vol of C7H16 needed = heat needed / (+dH comb / ml C7H16) = 75.3 MJ / 34.76 kJ/ml ?? 2167 ml
liters C7H16 needed = vol ml / 1000ml/liter = ?? 2.17 liters
1 liter = 0.26 US gal; so 2.17 liters * 0.26 gal/liter = 0.56 gal
Plug and SOLVE
Basic mathematics is a prerequisite to chemistry – I just try to help you with the methodology of solving the problem.
My exam ends alreadi...
i wanna go out...
but, even i'm freed...
my sis gonna have exam, my 1st bro busy working, my 2nd bro is the exam b4 graduate...
my father and mother busy.. only saturday and sunday got time...
2 days back..
my mother invite me to go to sunway pyramids..
becoz my father got public mutual ceremony...
by that time, my mom and my sis go to sunway pyramid..
i said i don wan go... becoz..
me go with my mother and my sis??
i more like to go with my father..
becoz me and him got same interest...
furthermore, i don wan meet any of my friend there when i'm walking with my mom and sis...
my dad said it is better me stay at home,
becoz got someone come to repair my gate...
i watch tv...
at last, when they back home...
i ask hows shopping?
my mother said "when we were at the sunway, my dad call to invite my mom to the ceremony, the its okay la and the ceremony was great"
my sis said "we just decided to go to so much place there... the ceremony is for the person that wanna pencen... so boring.. but the cakes was delicious..."
fortunately, i didnt go..
kwahah~!! ^^
i can watch my favorite story..
happy sunday (kbs world)
Q:-
C5H8O2 + CoCl2.6H2O --> Co(C5H8O2)3 + Cl2 + H2O
A:-
3C5H8O2 + CoCl2 * 6H2O ► Co(C5H8O2)3 + Cl2 + 6H2O
At last..
after i waited for more than 60+ days...
it already ends...
i felt very happy...
right now,
i can celebrate the day...
but b4 this,
my family always say to me go study, study after this, study, study, study....
right now,
go do see why the pump not working, go clean the pond, go water the plant, go buy things at shop...
kwahaha~!!
WeLcOmE~!