$(5$p$)1.$ If h and $x$ are distances, $a$ is an aceeleration and $v$ is a speed, from a dimensional point of view, the equation $h=\frac{a{x}^2}{y^3}-3x$ ean be written or not. Explain.

$(10$p$)2.$ Rearrange the following combinations of units to obtain a units that involves Joule $($J$)$ and Watt $($W$).$ Joules $(\frac{kg}{m^3}\frac{(m)}{s^2})=$

Watt $(\frac{kg}{m^3{s}^2})=\frac{k}{m}\frac{1000}{s^2}=>\frac{kl{a}_a}{c{m}^2,(s)}=>\frac{P_0*{10}^7}{c{m}^2*(s)}*\frac{m^3}{m^3}=\frac{J,{10}^3}{{10}^6,c{m}^5(s)}=\frac{J}{{10}^8,c{m}^5,(s)}$

$(10$p$)3.$ Write down the following quantities, with their SI Units.

a$)$ Force

b$)$ Weight

c$)$ Presure

d$)$ Work

e$)$ Power

f$)$ Energy

$N=ma$

$**!$

$(15$p$)4.$ a$)$ What is the difference between intensive property and extensive property? Explain.

b$)$ Which process requires more energy: completely vaporizing $1$ kg of saturated liquid water at $1$ atm or completely vaporizing $1$ kg of saturated liquid water at $5$ atm $?$

Explain it on T$-$v diagram.

$(20$p$)5.$ Determine whether water at each of the following states is a compressed liquid, a superheated vapor, or a mixture of saturated liquid and vapor. Show intermediate steps for point a$,$ b$,$ c and d and show them on T$-$v diagram.

a$)P=10$MPa,$v=0\mathrm{.}003\frac{m^3}{k}g$

c$)200C,v=0\mathrm{.}1\frac{m^3}{k}g$

b$)P=1$MPa,$190C$

d$)P=10$kPa,$10C$

$v=v_f+x(v_g-v_f)$

$v=x{u}_{fg}+u_f$

$(20$p$)6.$ A rigid tank with a volume of $2\mathrm{.}5m^3$ initially contains $15$ kg of saturated liquid$-$vapor mixture of water at $75C.$ The water is slowly heated until all the water is saturated wapor.

a$)$ What is the quality of the mixture at the initial state $($before heating$)?$

b$)$ Determine the temperature at which the liquid in the tank is completely vaporazid to saturated vapor.

c$)$ Determine the pressure in the tank?

$P=*g.,V\frac{?}{b}=ar(2,5m^3)$

d$)$ Show the processes on $T-v$ diagram.

$M=p*V$

$15={}^{2,5}p=6$

$P_{\text{a}\text{t}\text{m}}=p{g}^2$