Question

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

Answer 1

D. 2.02 x
`10^(5)` Pa

Step-by-step 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

`P_(ABS)` =
`P_(G)` +
`P_(ATM)`

Where;

`P_(ABS)` = absolute pressure

`P_(G)` = gauge pressure = 1.01 x
`10^(5)`Pa (from the question)

`P_(ATM)` = atmospheric pressure = 1.01 x
`10^(5)`Pa

Substitute these values into the equation above;

`P_(ABS)` =
`P_(G)` +
`P_(ATM)`

`P_(ABS)` = 1.01 x
`10^(5)` + 1.01 x
`10^(5)`

`P_(ABS)` = 2.02 x
`10^(5)` Pa

Therefore, the absolute pressure of the air inside the balloon is 2.02 x
`10^(5)` Pa

Answer 2

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