On Earth, the atmospheric pressure, p, in bars can be modelled approximately by the formula p =

Question:

On Earth, the atmospheric pressure, p, in bars can be modelled approximately by the formula p = e^−0.13h where h is the height above sea level in kilometres.

a. Use this model to estimate the pressure at the top of Mount Rainier, which has an altitude of 4.394 km.

b. Demonstrate that dp/dh = kp where k is a constant to be found.

c. Interpret the significance of the sign of k in part b.

d. This model predicts that the atmospheric pressure will change by s% for every kilometre gained in height. Calculate the value of s.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 15, 2023 03:43 AM

See More Questions

The atmospheric pressure P at altitude h = 20 km is P = 5.5 kilopascals. Estimate P at altitude h = 20.5 km assuming that dP/dh = 0.87
In Question 15, you found that the estimated Poisson regression model was log(/t = 8.67 + 0.049 (age), which can be re-expressed in terms of the estimated cancer rate: /t = e8067 + 0.049(age)(8.14)...
The County Hospital emergency room always has one doctor on duty. In the past, having just a single doctor there has been sufficient. However, because of a growing tendency for emergency cases to use...
Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is the triangular region with vertices (0, 0), (2, 1), (0, 3); (x, y) = x + y
Demand at Nature Trails Ski Resort has a seasonal pattern. Demand is highest during the winter, as this is the peak ski season. However, there is some ski demand in the spring and even fall months....
For the balanced chemical equation Al(s) + 3Ag+(aq) ( Al3+(aq) + 3Ag(s) how many moles of Ag are produced when 0.661 mol of Al are reacted?
P6-5 Workpaper (fair value/book value differential, upstream sales) Financial statements for Pop and Son Corporations for 2016 are as follows (in thousands): Pop Son Combined Income and Retained...
Using the following data from the comparative balance sheet of Dotte Company, illustrate horizontalanalysis. December 31, 2014 $520,000 $840,000 $2,500,000 December 31, 2013 Accounts receivable...
14-28. TARGET SERVICE COSTS, VALUE ENGINEERING, ACTIVITY-BASED COSTING. Lagoon is an amusement park that offers family-friendly entertainment and attractions. The park boasts more than 25 acres of...
Juan Real Estate Company (organized as a corporation on April 1, 2013) has completed the accounting cycle for the second year, ended March 31, 2015. Juan has also completed a correct trial balance as...
Rearrange f(x) = e 3x + 2 into the form f(x) = Ae bx , where A and b are constants whose values are to be found. Hence, or otherwise, sketch the graph of y = f(x).
Use your calculator to evaluate these logarithms to three decimal places. a. log 9 230 b. log 5 33 c. log 10 1020 d. log e 3
Consider a potential energy barrier like that of Figure but whose height Ub is 6.0eV and whose thickness L is 0.70 nm. What is the energy of an incident electron whose transmission coefficient is...
C 2 H 6 O 2 + NaOH + 6 H 2 O C 2 H 3 NaO 3 + O 2 + 3 H 2Hydrogen is produced at the cathode, oxYGEN AT THE ANODE .Mass balance to produce 5000 tonnes a year of glycolic acid, formic acid and oxalic...
Please answer: a discussion of the ethical issues involved. The court might not itself consider the ethics of the actions of the parties. However, I ask that you consider the ethics of the following:...
In Exercises 21-24, use these results from the "1-Panel-THC" test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24...
I need help for an assignment of a review on research on Virtual Education on study motivation and academic performance in university students. I am attaching a research article from a magazine to...
Shouldice Hospital in Canada is widely known for one thing-hernia repair! In fact, that is the only operation it performs, and it performs a great many of them. Over the past two decades this small...
On January 2, 2016, Evergreen Lighting purchased showroom fixtures for $18,000 cash, expecting the fixtures to remain in service for 5 years. Evergreen Lighting has depreciated the fixtures on a...
What are the three kinds of research types? Explain each type.
Use the Bonferroni method to correct for multiple comparisons. Which SNPs show statistically significant effects? Genetics, Diabetes Suppose we have separately analyzed the effects of 10 SNPs...
Use the FDR method to correct for multiple comparisons using an FDR = .05. Which SNPs show statistically significant effects? How do the results compare with those in Problem 12.72? Genetics,...
What is a reasonable type of model to fit these data? Write out the model, and explain what the terms mean? Ophthalmology Data were collected on TBUT, a measure of how long it takes for tears to...
Required : a- outline the statement of comperhensive income for the year ended 30 november 2021 b- outline the statment of financial position as at 30 November The Trial Balance of Alim Enterprise at...
International business and environment The MIR requires teams to gather current, or the most recently available, data on the markets people, economy, government, and technological status from online...
Consider the following stream of cash flows. The interest rate is 10%. 0 1 2 3 4 5 6 7 100 100 100 200 0 300 300 300 a) What is the value at time 0 of the cash flow stream? b) What is the value of...

On Earth, the atmospheric pressure, p, in bars can be modelled approximately by the formula p =

Question:

Step by Step Answer:

a To estimate the pressure at the top of Mount Rainier altitude of 4394 km we can use the formula p ...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions