Question

If the absolute pressure of a gas is 550.280 kPa, its gauge pressure is A. 448.955 kPa. B. 101.325 kPa. C. 651.605 kPa. D. 277.280 kPa.

Answer 1

The correct answer is option A which is 448.955 kPa.

Step-by-step explanation:

Given data:

absolute pressure of a gas = Pabs = 550.280 kPa

Atmospheric pressure = Patm = 101.325 kPa

Gauge pressure = Pg = ?

Solution:

As we know gauge pressure is difference of Absolute pressure and atmospheric pressure.

Pg = Pabs - Patm

Pg = 550.280 kPa - 101.325 kPa

Pg = 448.955 kPa

Hence the gauge pressure is 448.955 kPa

Answer 2

The correct answer is: Option (A) 448.955 kPa

Step-by-step explanation:

The formula for the absolute pressure is given as:

Absolute-pressure = Gauge-pressure + Atmospheric-pressure

`P_(abs) = P_g + P_(atm)`

Now rearrange the above equation to find the gauge pressure:

`P_(g) = P_(abs) - P_(atm)`

Insert the values:

Absolute pressure =
`P_(abs)` = 550.280 kPa

Atmospheric pressure =
`P_(atm)` = 101.325 kPa

Gauge pressure =
`P_(g)` = ?

`P_(g) = 550.280 - 101.325`

`P_(g) = 448.955 kPa`

Hence the correct answer is: Option (A) 448.955 kPa