Question

In an adiabatic process oxygen gas in a container is compressed along a path that can be described by the following pressure p, in atm, as a function of volume V, in liters: p = p0 V-6/5. Here p0 is a constant of units atm⋅L6/5. show answer Incorrect Answer 50% Part (a) Write an expression for the work W done on the gas when the gas is compressed from a volume Vi to a volume Vf.

Answer 1

Answer:

Explanation:

In case of gas , work done

W = ∫ p dV , p is pressure and dV is small change in volume

the limit of integration is from Vi to Vf .

= ∫ p dV

=  ∫ p₀$V^{-\frac{6}{5}$  dV

= p₀ $V^{-\frac{6}{5} +1}$ / ( $\frac{-6}{5} +1$ )

=  - 5p₀ $V^{-\frac{1}{5}$

Taking limit from Vi  to Vf

W = - 5 p₀ ( $V_f^\frac{-1}{5} - V_i^{\frac{-1}{5}$  ) ltr- atm.