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    Can someone check my working on this question please

    http://imgur.com/a/ZMXsx
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    tao =/= t
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    (Original post by iish)
    tao =/= t
    Why not? It's seconds, right?
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    (Original post by Naga7o)
    Why not? It's seconds, right?
    What? t is time. \tau = \frac{V}{q}
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    (Original post by Zacken)
    What? t is time. \tau = \frac{V}{q}
    V/q = volume/volumetric flow rate = time?
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    (Original post by Zacken)
    What? t is time. \tau = \frac{V}{q}
    The units of tau is seconds but that doesn't imply it's equal to t, it doesn't even imply it's a variable. In fact, the question is extremely poorly worded, I don't know if V is the initial volume or the volume as a function of time.
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    (Original post by oShahpo)
    The units of tau is seconds but that doesn't imply it's equal to t.
    Yeah, that's what I'm saying.
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    (Original post by Zacken)
    Yeah, that's what I'm saying.
    Quoted the wrong person sorry
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    (Original post by Naga7o)
    V/q = volume/volumetric flow rate = time?
    V is the volume as a function of time, then Volume / Volumetric flow = time if and only if the initial volume is zero. Otherwise their will be a constant.
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    (Original post by oShahpo)
    V is the volume as a function of time, then Volume / Volumetric flow = time if and only if the initial volume is zero. Otherwise their will be a constant.
    Would this approach be correct then?

    http://imgur.com/4jbzWJz
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    (Original post by Naga7o)
    Would this approach be correct then?

    http://imgur.com/4jbzWJz
    Between 0 and t0 C0 is a function of t, thus you haven't really separated the variables.
    Your solution, I think, is correct for t>t0, for T<T0, solve this differential equation
    dC/dT + C = alpha/T0 *t
    This is a first differential equation that can be easily solved by finding the integrating factor.
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    (Original post by oShahpo)
    Between 0 and t0 C0 is a function of t, thus you haven't really separated the variables.
    Your solution, I think, is correct for t>t0, for T<T0, solve this differential equation
    dC/dT + C = alpha/T0 *t
    This is a first differential equation that can be easily solved by finding the integrating factor.
    What happened to tau?
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    (Original post by Naga7o)
    What happened to tau?
    It should be there, I made a mistake. Sorry.
 
 
 
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