A system consists of a gas in an enclosed cylinder attached to a movable piston. The system is initially at 63 L and then is compressed to 31 liters. Determine the sign of work. Will it be a negative or positive

Respuesta :

Answer:

The sign of work will be negative.

Explanation:

The work of the system is given by:

[tex] W = _{V_{i}}^{V_{f}}\int pdV = p(V_{f} - V_{i}) [/tex]

Where:

[tex]V_{f}[/tex]: is the final volume = 31 L

[tex]V_{i}[/tex]: is the initial volume = 63 L

p: is the pressure

Even though we do not have the pressure value, by knowing the values of the initial and final volume we can predict the sign of work.            

[tex] W = p(V_{f} - V_{i}) = p(31 L - 63 L) = -32p [/tex]

Therefore, the sign of work will be negative.

I hope it helps you!