Calculate the amount of work necessary for the reversible compression of steam from $1$ bar to $\frac{10}{b}ar.$ The compression is to take place in a cylinder fitted with a weightless piston at the constant temperature of $500C.$ Unider these conditions we have a superheated vapor.

Report your answer in units of $k\frac{J}{k}g$ using three decimal places.

As you check your work, note that here we have compression from $1$ bar to $10$ bar under constant temperature. We would expect the volume of the system to decrease. Use this to check the sign $($positive or negative$)$ of your computed work.