To solve this problem, we need to use the formula for pressure in a fluid column which is P = ρgh, where:

- P is the pressure (which is 300 Kpa in this case),
- ρ is the density of the fluid (for water it's typically 1000 kg/m³),
- g is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the earth),
- h is the height of the fluid column (which is what we're trying to find).

First, we need to convert the pressure from Kpa to Pa because the standard unit of pressure in this formula is Pascal (Pa). 1 Kpa = 1000 Pa, so 300 Kpa = 300,000 Pa.

Next, we rearrange the formula to solve for h: h = P / (ρg).

Substituting the given values into the formula gives us: h = 300,000 Pa / (1000 kg/m³ * 9.81 m/s²) = 30.6 m.

So, the water would rise to a height of 30.6 meters in the pipes of the building. Therefore, the correct answer is D. 30.6 m.

Question

To solve this problem, we need to use the formula for pressure in a fluid column which is P = ρgh, where:

- P is the pressure (which is 300 Kpa in this case),
- ρ is the density of the fluid (for water it's typically 1000 kg/m³),
- g is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the earth),
- h is the height of the fluid column (which is what we're trying to find).

First, we need to convert the pressure from Kpa to Pa because the standard unit of pressure in this formula is Pascal (Pa). 1 Kpa = 1000 Pa, so 300 Kpa = 300,000 Pa.

Next, we rearrange the formula to solve for h: h = P / (ρg).

Substituting the given values into the formula gives us: h = 300,000 Pa / (1000 kg/m³ * 9.81 m/s²) = 30.6 m.

So, the water would rise to a height of 30.6 meters in the pipes of the building. Therefore, the correct answer is D. 30.6 m.

Knowee AI · Accepted Answer

To solve this problem, we need to use the formula for pressure in a fluid column which is P = ρgh, where:

- P is the pressure (which is 300 Kpa in this case),
- ρ is the density of the fluid (for water it's typically 1000 kg/m³),
- g is the acceleration due to gravity (approximately 9.81 m/s² on the surface of the earth),
- h is the height of the fluid column (which is what we're trying to find).

First, we need to convert the pressure from Kpa to Pa because the standard unit of pressure in this formula is Pascal (Pa). 1 Kpa = 1000 Pa, so 300 Kpa = 300,000 Pa.

Next, we rearrange the formula to solve for h: h = P / (ρg).

Substituting the given values into the formula gives us: h = 300,000 Pa / (1000 kg/m³ * 9.81 m/s²) = 30.6 m.

So, the water would rise to a height of 30.6 meters in the pipes of the building. Therefore, the correct answer is D. 30.6 m.

How high would water rise in the pipes of a building if the water pressure gauge shows the pressure at the ground floor to be 300 Kpa.A 95.5 m B 45.3 m C 40.2 m D 30.6 m

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