This problem derives the ideal gas law from the general differential equation of state. For ideal gases with a single component, experiments show that Kr p-1, and a = T1. Moreover, for a single component, V = Chapter 5). Starting with Equation 3.4, substitute the three results above and integrate. Within a mutliplicative constant, you should be able to recover the ideal gas law. Hint: although you should be able to separate variables, integration will require multiple steps. Use the fact that p, T, V, and n are state functions, and integrate from a single starting point with variables pi, Vi, Ti, n, to general values p, V, T, n. V/n (see %3D

icon
Related questions
Question
3.4 This problem derives the ideal gas law from the general differential equation of state. For ideal gases with a single
component, experiments show that Kr = p-1, and a =T1. Moreover, for a single component, V = V/n (see
Chapter 5). Starting with Equation 3.4, substitute the three results above and integrate. Within a mutliplicative
constant, you should be able to recover the ideal gas law. Hint: although you should be able to separate variables,
integration will require multiple steps. Use the fact that p, T, V, and n are state functions, and integrate from a single
starting point with variables p, Vị, Tj, n; to general values p, V, T, n.
Transcribed Image Text:3.4 This problem derives the ideal gas law from the general differential equation of state. For ideal gases with a single component, experiments show that Kr = p-1, and a =T1. Moreover, for a single component, V = V/n (see Chapter 5). Starting with Equation 3.4, substitute the three results above and integrate. Within a mutliplicative constant, you should be able to recover the ideal gas law. Hint: although you should be able to separate variables, integration will require multiple steps. Use the fact that p, T, V, and n are state functions, and integrate from a single starting point with variables p, Vị, Tj, n; to general values p, V, T, n.
dp +
dT +
dn
Eqn. (3.4) should be: dV
OT
P,n
T.P
T,n
Transcribed Image Text:dp + dT + dn Eqn. (3.4) should be: dV OT P,n T.P T,n
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS