Calculating Work Done by a Steam Engine Using Integral Calculus

[johnnyboy2005]

this is a question about a steam engine with the equation (sorry for lack of proper math language)

PV^1.4 = k (constant)


using the idea of integral from V1 to V2

ie...


the amount of work done is W=(int.V1 to V2) PdV

Where P1=160lbs/in^2
and V1 = 100 in^3...V2=800 in^3

solving for P we can find P=kV^(-1.4)...where k is 100953.1751

now i solved for in the integral

160*(100953.1751) *[ .4 V^.4] from 100 to 800 (for V)

i found W=9.35 * 10^11


Did i do this properly?
thanks for the help.

 

[johnnyboy2005]

anyone...?

 

[johnnyboy2005]

it's okay...i figured out where i went wrong