Homework #$1$

A vertical, frictionless piston$-$cylinder device contains a gas at $180$ kPa absolute pressure. The atmospheric pressure outside is $100$ kPa $,$ and the piston has a crosssectional area of $25c{m}^2.$ Determine the mass of the piston.

Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on the pressure gage is $90$ kPa $,$ determine the distance between two fluid levels of the manometer if the fluid is $($a$)$ mercury $(=13,600k\frac{g}{m^3}),($b$)$ water $(=1000k\frac{g}{m^3}).$

Calculate the absolute pressure, $P_1,$ of the manometer shown in Fig. P $3$ in kPa $.$ The local atmospheric pressure is $90$ kPa $.$

$(20\%)$

Consider a U$-$tube whose arms are open to the atmosphere. Now water is poured into $70-cm-$high water, while the other arm contains both fluids with oil$-$to$-$water height ratio of $4.$ Determine the height of each fluid in that arm.

$(20\%)$

The temperature of ambient air in a certain location is measured to be $-40C.$ Express this temperature in $($a$)F,($b$)$ K $,$ and $($c$)$ R $.$

$(15\%)$

Hyperthermia of $5C($i$.$e$.,5C$ rise above the normal body temperature$)$ is considered fatal. Express this fatal level of hyperthermia in $($a$)$ K $,($b$)F,$ and $($c$)$ R $.$

$(15\%)$

Fig. P$2$

Fig. P$3$

Fig. P$4$