i have some physics questions. please give me all the correct answers thank you.

Question

i have some physics questions. please give me all the correct answers thank you.

Question: Sarah has a beach ball at the beach. The temperature of the air and water is 18.7 °C. When fully inflated, the beach ball has a radius of 14.8 cm, and a pressure of 1.02 atumn Part 1) How many mols of air are inside the beach ball? Assume air is an ideal gas mols Part 2) Sarah plays a game where she pulls the beach ball under the water. She manages to get the center of the beach ball 1.13 m under the water. The density of the sea water is 1030 kg/m3. What is the change in the pressure at this depth when compared with the pressure at the surface? AP Pa Part 3) What is the change in volume or the beach ball in L as it is submerged to 1.13 m smaller, give a negative answer r it gets bigger, give a positive answer if it gets

Explanation / Answer

1)

Pi = 1.02atm = 103400 N/m2

Vi = 4/3**R3 = 4/3*3.14*0.148^3 = 0.0136 m3

Ti = 18.7+273.15 = 291.85 K

Use ideal gas law,

PiVi = nRTi

103400*0.0136 = n*8.314*291.85

n= 0.58 = 0.6 mols

2)

P = gh = 1030*9.8*1.13 = 11406.22 =1.14*10^3 Pa

3)

Pf = Pi + P = 103400 + 11406.22 = 114806.22 m3

PfVf = PiVi

Vf = (PiVi)/Pf

Plug values,

Vf = (103400*0.0136)/(114806.22)

Vf = 0.0122 m3 = -12.2 L

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