Tom wants to climb a mountain. A mountain is 8849m high. Atmospheric pressure decreases exponentially the higher one ascends. he knows that this is the greatest dangers of an expedition above 8000m. The atmospheric pressure at sea level is about 1013 hpa. If pressure is 12% lower at 1000m above sea level, find the atmospheric pressure.
how to solve this question when there is a formula of this:
P(d)=Po e^kd, where d is distance (m), Po is pressure at sea level(hpa) and P(d) is pressure at some distance above sea level(hpa). what would be Po and P(d) ?
any response there pls..
oobleck did this for you.
To solve this question using the provided formula P(d) = Po * e^(kd), where d is the distance in meters, Po is the pressure at sea level in hPa, and P(d) is the pressure at some distance above sea level in hPa, we can follow these steps:
Step 1: Identify the given values and the unknowns
- Po: Pressure at sea level (unknown)
- P(d): Pressure at 1000m above sea level (unknown)
- d: Distance above sea level = 1000m
- k: Exponential coefficient (unknown)
- P(d) = Po * e^(kd)
Step 2: Use the given information to set up the equation
- According to the problem, the atmospheric pressure is 12% lower at 1000m above sea level.
- This means the pressure at 1000m above sea level is 88% of the pressure at sea level.
- Using this information, we can write the equation as: 0.88Po = Po * e^(k*1000)
Step 3: Solve for unknowns
- To find the unknowns Po and k, we need more information or additional equations since we have two unknowns and one equation.
Therefore, with the provided information, it is not possible to determine the exact values of Po and P(d) using the given formula.