I drink from a glass of water with a vertical straw. What's the longest straw I can use and still drink water if the ambient pressure is 1 atm? Give your answer in meters.

Details and assumptions
1 atm is 101,325 Pa.
The acceleration of gravity is −9.8 m/s2.
The density of water is 1 g/cm3.

(water density)*g*(max straw vertical length) = 1 atm. = 101,325 Pa.

Solve for max straw length

Hmax = 101,325/(9.8*1000 kg/m^3)
= 10.3 m

10.3393

To determine the longest straw you can use and still drink water when the ambient pressure is 1 atm, we need to consider the relationship between pressure, depth, and the density of the liquid.

The equation that relates pressure, depth, and density is known as Pascal's Law, which states that the pressure in a fluid is transmitted equally in all directions.

To get started, let's rearrange the formula to isolate the depth variable:

Pressure = Density * Gravity * Depth

Given:
- Atmospheric pressure (P0) = 1 atm = 101,325 Pa
- Density of water = 1 g/cm^3 = 1000 kg/m^3
- Acceleration due to gravity (g) = -9.8 m/s^2 (negative sign indicates the downward direction)

Substituting these values into the equation, we have:

P0 = Density * Gravity * Depth

Solving for Depth, we get:

Depth = P0 / (Density * Gravity)

Now, let's plug in the values:

Depth = (101,325 Pa) / (1000 kg/m^3 * (-9.8 m/s^2))

Simplifying this expression, we have:

Depth = -10.34 meters

Since depth cannot be negative in this context, the maximum depth that can be reached in a glass of water with a vertical straw is 10.34 meters.

Therefore, the longest straw you can use and still drink water if the ambient pressure is 1 atm is 10.34 meters.