Question

given: p=aV^-3/2, p1=2000Pa and V1= 1x10^-2 m^3
find: a

Answer 1

ok so i tried to work it out by filling in but my answer is wrong:
a=p1v1^3/2 = (2000)(1x10^-2)^3/2, my answer is 2 but my book says 2x10^-3 :/

Answer 2

\[\large p = a(V)^{- \frac{3}{2}}\]
Is it??

Answer 3

yes

Answer 4

happy new year by the way :)

Answer 5

Happy New Year to you and to your Family @bronzegoddess

Answer 6

So you got:

\[\large p(V)^{\frac{3}{2}} = a\]

Answer 7

thx, yes

Answer 8

So:

\[\huge a = 2000 \times (10^{-2})^{\frac{3}{2}}\]

Answer 9

Now look carefully:

\[\huge (x^b)^a = x^{b \times a}\]

Answer 10

i see

Answer 11

So:

\[\large (10^{-2})^{\frac{3}{2}} = ??\]

Answer 12

:) 10^-6/2=10^-3

Answer 13

but 2000 x 10^-3 = 2...

Answer 14

Try to figure out, anna is calling me..

Answer 15

What is the units of a given?/

What is units given in answer??

Answer 16

joules

Answer 17

i thought of converting into liters for the volume but that is not possible because joules are newton meters..

Answer 18

Do you think it is right?

\[Pa \times m^3 = Joules\]

Answer 19

In simpler notations, how can we write joules??

Answer 20

i dont understand..

Answer 21

If your teacher is not understanding then how can the student..!!

Answer 22

pascal=kg/ms^2

Answer 23

Oh okay..

Similarly, can you say something about Joules??

Answer 24

therefore Pa xm^3= kg/m

Answer 25

kg/ms^2 i mean

Answer 26

wait, the units are write.. Pa x m^3= kg/ms^2 xm^3= kgm^2/s^2

Answer 27

Pascal is :

\[\frac{kg}{ms^2}\]

Is this right??

Answer 28

the units are right*

Answer 29

can someone just tell me why i am getting 2 and not 2x10^-3...

Answer 30

\[Pa = \frac{N}{m^2}\]

Answer 31

So:

\[Joule = N \cdot m = Force \times Distance \; \; \; (Right)\]

Answer 32

I think there is something wrong with your question..

Can you scan and upload the page??

Answer 33

In my sense, you might be given that Volume is given to you in 10^{-2} per metre sense, so that Volume in m^3 will be :

\[\large V = 1 \times 10^{-6} m^3\]

Answer 34

@waterineyes