In the reaction, CH4 + 2O2 arrow CO2 + 2H2O, 890 kilojoules of heat are released. Using Einstein's equation, calculate the mass amount to which this energy equates. (1 J = 1 kg m2 s-2) and the speed of light = 3.0 x 108 m/sec Answer 9.9 x 1012 kg 9.9 x 10-12 kg 9.9 x 10-14 kg 1.1 x 10-6 kg
In the equation E = mc^2, what is m? In this case, that is.
@abb0t
@JFraser
m is what you're looking for, since the problem says "what mass"
E is given, 889kJ, and the speed of light is constant 3*10^8 m/s
oh... m = E x c?
no
but where does the ^2 go?
since \[E = mc^2\] then \[ m = \frac{E}{c^2}\]
the squared function is part of the speed of light, you can't just ignore it when you rearrange an equation
ah....right.. sorry, I haven't had food yet, my brain's running on low with a subject it already has a hard time with. so... m = 890/3 x 108^2?
almost. the energy is given in kJ, but has to be in J for the equation. You actually have: \[m = \frac{8.89*10^5J}{(3.0*10^8\frac{m}{s})^2}\]
you have to be careful where your exponents are when you divide in scientific notation
hmm... I got 8.001 x 10^22, which isn't an option.. confusion?
then your math is wrong, because you should get an incredibly small number
you should review how to manipulate scientific notation and the rules of multiplying and dividing with exponents
Oh, wait...no I think the answer is B
do out the calculation and see
yeah, it's B, thnx for your help!
it is, GJ
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