Question

(5 Points)

Answer 1

Answer:

1. $P_{2}$ = 8 x $10^{4}$ Pa

2. P = 1.5 x $10^{5}$ N/$m^{2}$

Explanation:

1. From Boyles' law;

$P_{1}$$V_{1}$ = $P_{2}$$V_{2}$

$P_{1}$ = 1 x $10^{5}$ Pa

$V_{1}$ = 9.6 $m^{3}$

$V_{2}$ = 12 $m^{3}$

Thus,

1 x $10^{5}$ x 9.6 =  $P_{2}$ x 12

 $P_{2}$ = $\frac{100000 x 9.6}{12}$

     = 80000

$P_{2}$ = 8 x $10^{4}$ Pa

2. Pressure, P = ρhg

where: ρ is the density of the fluid, h is the height/ depth and g is the acceleration due to gravity (9.8 m/$s^{2}$).

Thus,

P = 1020 x 15 x 9.8

  = 149940

P = 1.5 x $10^{5}$ N/$m^{2}$