At the end of the adiabatic expansion, the gas fills a new volume V₁, where V₁ > V₀. Find W, the work done by the gas on the container during the expansion. Express the work in terms of p₀, V₀, and V₁. Your answer should not depend on temperature.

Explanation:

An adiabatic process refers to one where there is no exchange of heat.

The equation of state of an adiabatic process is given by,

where,

= pressure

= volume

= constant

Therefore, work done by the gas during expansion is,

(using )

b) phosphorus pentoxide

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west