$5-132$ A piston$-$cylinder device initially contains $0\mathrm{.}6$ kg of steam with a volume of $0\mathrm{.}1m^3.$ The mass of the piston is such that it maintains a constant pressure of $800$ kPa $.$ The cylinder is connected through a valve to a supply line that carries steam at $5$ MPa and $500C.$ Now the valve is opened and steam is allowed to flow slowly into the cylinder until the volume of the cylinder doubles and the temperature in the cylinder reaches $250C,$ at which point the valve is closed. Determine $(a)$ the mass of steam that has entered and $(b)$ the amount of heat transfer.

FIGURE P$5-132$

Inventory by Three Methods; Cost of Goods Sold

The units of an item available for sale during the year were as follows:

Jan. $1$ Inventory $22$ units at $$1,800$ each

June $9$ Purchase $29$ units at $$1,950$ each

July $28$ Purchase $13$ units at $$2,040$ each

Nov. $1$ Purchase $17$ units at $$2,100$ each

There are $20$ units of the item in the physical inventory at December $31.$

Determine the cost of ending inventory and the cost of goods sold by three methods, presenting your answers in the following form:

Round your final answers to the nearest dollar.

Cost

Inventory Method

Ending Inventory

Cost of Goods Sold

a$.$ First$-$in$,$ first$-$out method $$

b$.$ Last$-$in$,$ first$-$out method $$

c$.$ Weighted average $$ X $$