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