Mathematics
13 Online
OpenStudy (anonymous):
7.5 x 10^4 J = 440 g (0.90J) (Tf- 19.5 C)
how do I rearrange this to solve for Tf?
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OpenStudy (mertsj):
Well first, divide both sides by 440(.90)g-J
OpenStudy (mertsj):
And then add 19.5 to both sides.
OpenStudy (anonymous):
thats it?
OpenStudy (mertsj):
yep
OpenStudy (anonymous):
what about in this case?
{155 g}{4.184 J} {Tf – 26C} = - {75 g} {4.184 J} { Tf – 95C}
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OpenStudy (mertsj):
Well then you have to use the distributive property and collect the terms that contain Tf
OpenStudy (anonymous):
how?
OpenStudy (mertsj):
\[155(4.184)(T-26)=-75(4.184)(T-95)\]
OpenStudy (mertsj):
Let's divide both sides by 4.184 and be rid of that
OpenStudy (anonymous):
divide or subtract?
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OpenStudy (mertsj):
\[155(T-26)=-75(T-95)\]
\[155T-4030=-75T+7125\]
\[230T=11155\]
\[Tf=48.5\]
OpenStudy (mertsj):
Is it a factor or an addend?
OpenStudy (mertsj):
If 4.184 is a factor divide it out. It it is an addend, subtract it. Which is it?
OpenStudy (anonymous):
what calculation did you perform to get the 4030
OpenStudy (anonymous):
and the 7125
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OpenStudy (mertsj):
Do you know how to use the distributive property?
OpenStudy (mertsj):
155(T-26)=155 times T - 155 times 26
OpenStudy (anonymous):
a(b+c) = ab + bc
OpenStudy (mertsj):
Yep
OpenStudy (anonymous):
ok i get it now. thanks for you patience
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OpenStudy (mertsj):
Also
-75(T-95)==-75 time T + 75 times 95
OpenStudy (mertsj):
yw