/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 63 Cooling Air As a parcel of air r... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 63 (page 817)

Cooling Air As a parcel of air rises (for example, as it is pushed over a mountain), it cools at the dry adiabatic lapse rate of 5.5掳F per 1000 feet until it reaches its dew point. If the ground temperature is 67掳F, write a formula for the sequence of temperatures, {Tn}, of a parcel of air that has risen n thousand feet. What is

the temperature of a parcel ofair if it has risen 5000 feet?

Short Answer

Expert verified

Formula for the sequence of temperatures

Tn=-5.5n+67

the temperature of a parcel of air if it has risen 5000 feet

T5=39.5掳F

Step by step solution

01

Given Information 

The ground temperature is 67掳F. The difference in temperature per 1000 feet is -5.5掳F .

02

Formula for temperature 

The ground temperature is 67掳F. The difference in temperature per 1000 feet is -5.5掳F .

The temperature of parcel of air at 1000 feet is T1= 67-5.5=62.5

The temperature of parcel of air at 2000 feet isT2=67-2(5.5)

The temperature of parcel of air at n thousand feet

Tn=67-5.5nTn=-5.5n+67

03

Step 3:  Temperature at 5000 feet

Now we find the temperature of a parcel of air if it has risen 5000 feet

n=5

Tn=-5.5n+67n=5T5=-5.5(5)+67=39.5掳F

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find x so that x, x + 2, and x + 3 are consecutive terms of a geometric sequence.

Extended Principle of Mathematical Induction The Extended Principle of Mathematical Induction states that if Conditions I and II hold, that is,

(I) A statement is true for a natural number j

(II) If the statement is true for some natural number k鈮�j, then it is also true for the next natural number k+1.then the statement is true for all natural numbers 鈮�j. Use the Extended Principle of Mathematical Induction to show that the number of diagonals in a convex polygon of n sides is 12n(n-3).

True or False: In a geometric sequence the common ratio is always a positive number.

Use the Binomial Theorem to find the numerical value of

(0.998)6 correct to five decimal places.

Jodi and Jeff borrowed \(120,000 at 6.5% per annum compounded monthly for 30 years to purchase a home. Their monthly payment is determined to be \)758.48.

(a) Find a recursive formula for their balance after each monthly payment has been made.

(b) Determine Jodi and Jeff鈥檚 balance after the first payment.

(c) Using a graphing utility, create a table showing Jodi and Jeff鈥檚 balance after each monthly payment.

(d) Using a graphing utility, determine when Jodi and Jeff鈥檚 balance will be below \(100,000.

(e) Using a graphing utility, determine when Jodi and Jeff will pay off the balance.

(f) Determine Jodi and Jeff鈥檚 interest expense when the loan is paid

(h) Is it worthwhile for Jodi and Jeff to pay the additional \)100? Explain.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.