Question

i'll type my question in the comments :D

Answer 1

\[\frac{ T }{ T_{0} }=(\frac{ P }{ P_{0} })^\frac{ k-1 }{ k }\]

solve for k

sooo i did log P/Psub 0 on both sides... i got...
k=\[k=\frac{ 1 }{ 1-\log_{ \frac{ P }{ P_0 }} \frac{ T }{ T_0 }}\]

is that correct?

Answer 2

the answer according to the book is ln(P/P_0) over ln(PT_0/TP_0)

Answer 3

are they equivalent?

Answer 4

@Coolsector ? :D

Answer 5

@Hero ? :D

Answer 6

yes that is fine as well

Answer 7

really? yay! thank you!

Answer 8

your book:

\[\frac{ \ln (p/p0) }{ \ln(pT0/p0T) } = \frac{ \ln (p/p0) }{ \ln(p/p0) - \ln(T/T0)) }\]

now you multiply num and denom by 1/ln(p/p0) and get:

Answer 9

\[\frac{ 1 }{ 1 - \ln(T/T0)/\ln(p/p0) } = \frac{ 1 }{ 1 - Log _{p/p0}(T/T0) } \]

Answer 10

which is what you have :)

Answer 11

yay that made it really clear! thank you!!