The gauge pressure for the air in a balloon equals 1.01 x 10^5 Pa. If atmospheric pressure is equal to 1.01 x 10^5 Pa, what is the absolute pressure of the air inside the balloon?

a.

0 Pa

b.

5.05 x 10^4 Pa


c.

1.01 x 10^5 Pa

d.

2.02 x 10^5 Pa

Respuesta :

Absolute Pressure = Atmospheric Pressure + Gage Pressure

Absolute Pressure = 1.01 x 10^5 Pa + 1.01 x 10^5 Pa = D. 2.02 x 10^5 Pa

Answer:

D.        2.02 x [tex]10^{5}[/tex] Pa

Explanation:

The gauge pressure is the pressure measured relative to the atmospheric pressure.

Absolute pressure (or total pressure), is the sum of the gauge pressure and the atmospheric pressure. i.e

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

Where;

[tex]P_{ABS}[/tex] = absolute pressure

[tex]P_{G}[/tex] = gauge pressure = 1.01 x [tex]10^{5}[/tex]Pa  (from the question)

[tex]P_{ATM}[/tex] =  atmospheric pressure = 1.01 x [tex]10^{5}[/tex]Pa

Substitute these values into the equation above;

[tex]P_{ABS}[/tex] = [tex]P_{G}[/tex] + [tex]P_{ATM}[/tex]

[tex]P_{ABS}[/tex] = 1.01 x [tex]10^{5}[/tex] + 1.01 x [tex]10^{5}[/tex]

[tex]P_{ABS}[/tex] = 2.02 x [tex]10^{5}[/tex] Pa

Therefore, the absolute pressure of the air inside the balloon is 2.02 x [tex]10^{5}[/tex] Pa

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