Question

Water is flowing through a channel (lying in a vertical
plane) as shown in the figure. Three sections , A, B
and C are shown. Sections Band C have equal area
of cross section. If Pa, Pb, and Pc, are the pressures
at A, B and C respectively then
​

Answer 1

$P_A$ < $P_B$ < $P_C$

Explanation:

=> Consider Bernouli's principle and equation of continuity and compare point A and B,

∴ $A_AV_A$ = $A_BV_B$

Because,

$A_A<A_B\\V_A>V_B$

=> According to Bernoulli's equation,

$P_A$ + 1/2ρ$V_A^2$ +ρgh = $P_B$ + 1/2ρ$V_B^2$ +ρgh

∵ $V_A>V_B$

1/2ρ$V_A^2$  > 1/2ρ$V_B^2$

∴ $P_A<P_B$ ....(1)

=> Now let's compare C and B,

According to equation of continuity,

$A_B=A_C =>V_B=V_C$

$P_B$ + 1/2ρ$V^2$ +ρg$h_B$ = $P_C$ + 1/2ρ$V^2$ +ρg$h_C$

$P_B$ + ρg$h_B$ = $P_C$ +ρg$h_C$

But, $h_B$ is greater than $h_C$

∴ $P_B<P_C$  ...(2)

=> From equation (1) and (2), we get

$P_A<P_B<P_C$

Learn more:

Q:1 Students A, B and C were given five raisins each of equal weight. The raisins  were soaked in distilled water at room temperature. A removed the raisins after  20 minutes, B after two hours and C after 40 minutes. If PA, PB and PC denote  percentage absorption of water obtained by students A, B and C respectively,  then what will be the order of percentage!

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Q:2 For a homogeneous gaseous reaction , A + 2B gives C at 300 K, the value of Kc = 0.1. When two moles each of A and B are mixed, then what will be the approximate equilibrium pressure if 30% of A is converted to C?

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Answer 2

Answer:

See the above attachment