Adiabatic Expansion: Solving for Pressure and Volume

[bobsmith76]

Homework Statement

see attachment

The Attempt at a Solution

I'm having trouble where they multiply (101,000 by 1.5 m³)^5/3

I get 151,500 Pa*m⁵
not 199,000 Pa*m⁵

 

[Andrew Mason]

Homework Statement

see attachment

The Attempt at a Solution

I'm having trouble where they multiply (101,000 by 1.5 m³)^5/3

I get 151,500 Pa*m⁵
not 199,000 Pa*m⁵

The adiabatic condition is:

$PV^\gamma = K$ which means $P^1 \times V^\gamma = K$

Since $\gamma = 5/3$, and V = 1.5, $V^\gamma = 1.5^{5/3} = 1.97$

AM