Questions 20-23. Atmospheric pressure decreases by about 12% for every kilometer you climb. The pressure at sea level is about 1013 atmospheres.
How many atmospheres of pressure will you feel at 0.383 km? (highest point in Indiana)
(round to the nearest atmosphere)
The pressure at sea level is about 1013 atmospheres
It is not.
Maybe 1.013 atm today
.383 * 0.12 = 0.04586
1 - 0.04586 = 0.954
multiply that by 1.013
so the pressure is 1.013 * 0.88^x
1.013 * 0.88^0.383 = 0.965
To calculate the number of atmospheres of pressure at 0.383 km, we need to determine the decrease in atmospheric pressure for every kilometer climbed and then calculate the decrease for 0.383 km.
Given that atmospheric pressure decreases by about 12% for every kilometer climbed, we can find the decrease in pressure using the formula:
Pressure decrease = (12/100) * pressure at sea level
Substituting the given values:
Pressure decrease = (12/100) * 1013 atmospheres
Pressure decrease = 121.56 atmospheres
Now, we need to calculate the pressure at 0.383 km by subtracting the pressure decrease:
Pressure at 0.383 km = pressure at sea level - pressure decrease
Pressure at 0.383 km = 1013 atmospheres - 121.56 atmospheres
Pressure at 0.383 km = 891.44 atmospheres
Rounding to the nearest atmosphere gives us:
Pressure at 0.383 km ≈ 891 atmospheres
Therefore, you will feel approximately 891 atmospheres of pressure at 0.383 km.
To calculate the atmospheric pressure at 0.383 km, we can use the given information that atmospheric pressure decreases by about 12% for every kilometer of elevation. We know that at sea level, the pressure is about 1013 atmospheres.
First, let's calculate the decrease in pressure for 0.383 km. Since each kilometer corresponds to a 12% decrease, we can calculate the decrease for 0.383 km as follows:
0.383 km * 12% = 0.383 km * 0.12 = 0.04596 km
Next, we need to subtract this decrease from the sea level pressure to find the pressure at 0.383 km:
Pressure at 0.383 km = Pressure at sea level - Decrease in pressure
= 1013 atmospheres - 0.04596 km
= 1013 atmospheres - 11.52 atmospheres (since 1 km decrease results in a 12% decrease)
Finally, rounding to the nearest atmosphere, we can say that the pressure at 0.383 km is approximately:
≈ 1013 atmospheres - 12 atmospheres
≈ 1001 atmospheres
Therefore, at a height of 0.383 km (the highest point in Indiana), you would experience around 1001 atmospheres of pressure.