expert solutions

Problem $2(10$ points$)$

$1$ kg of steam initially at $150C$ and $1$ bar is enclosed within a spring piston system shown in the figure below. Some amount of heat, $Q,$ is transferred to the steam such that its volume increases by a factor of $1\mathrm{.}3,$ which in turn compresses the spring. If the spring constant is $16k\frac{N}{m}$ and the cross$-$sectional area of the piston is $0\mathrm{.}25m^2,$ estimate the following $($ignore the influence of gravity$)$:

a$)$ The final temperature, pressure, and state of the steam after heat transfer $($if it is a twophase mixture, also calculate the quality$).$

b$)$ Evaluate the work done, and comment on the sign.

c$)$ Evaluate the heat transferred into the system; assume variable specific heats.

$($Hint: recall the state principle!$)$