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.

Reply 6

Zacken

22

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. :tongue:

Reply 7

oShahpo

20

Original post by Zacken

Yeah, that's what I'm saying. :tongue:

Quoted the wrong person :colondollar:

sorry

Reply 8

oShahpo

20

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.

Reply 9

Naga7o

OP

6

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

Reply 10

oShahpo

20

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.

(edited 7 years ago)

Reply 11

Naga7o

OP

6

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.