Question

Texts: Section 2.5 - Heating and Cooling Dynamics Problem 4 User Settings Previous Problem Problem List Next Problem Grades Section 2.5 - Heating and Cooling Dynamics: Problem 4 (1 point) Problems Problem 1 A hot metal bar is submerged in a large reservoir of water whose temperature is 70°F. The temperature of the bar 20 seconds after submersion is 100°F. After 1 minute submerged, the temperature has cooled to 80°F. Problem 2 Problem 3 a) Determine the cooling constant k. Problem 4 k1 b) What is the differential equation satisfied by the temperature F(t) of the bar? Ft = Use F for F(t). c) What is the formula for Ft? F d) Determine the temperature of the bar at the moment it is submerged. Initial temperature = 150°F. Full Google Search or type URL A

          Texts: Section 2.5 - Heating and Cooling Dynamics Problem 4 User Settings

Previous Problem
Problem List
Next Problem
Grades

Section 2.5 - Heating and Cooling Dynamics: Problem 4 (1 point)

Problems

Problem 1
A hot metal bar is submerged in a large reservoir of water whose temperature is 70°F. The temperature of the bar 20 seconds after submersion is 100°F. After 1 minute submerged, the temperature has cooled to 80°F.

Problem 2

Problem 3
a) Determine the cooling constant k.

Problem 4
k1

b) What is the differential equation satisfied by the temperature F(t) of the bar?
Ft = Use F for F(t).

c) What is the formula for Ft?

F

d) Determine the temperature of the bar at the moment it is submerged.
Initial temperature = 150°F.

Full
Google Search or type URL
A

Show more…

texts section 25 heating and cooling dynamics problem 4 user settings previous problem problem list next problem grades section 25 heating and cooling dynamics problem 4 1 point problems pro 09416

Added by Jonathan B.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Madhur L

11/28/2022

Step 1

To determine the cooling constant k, we can use the formula: k = (T2 - T1) / (t2 - t1) where T1 is the initial temperature, T2 is the final temperature, t1 is the initial time, and t2 is the final time. Given that the initial temperature is 100°F after 20 Show more…

Show all steps

lock

Thanks for your feedback!

Texts: Section 2.5 - Heating and Cooling Dynamics Problem 4 User Settings Previous Problem Problem List Next Problem Grades Section 2.5 - Heating and Cooling Dynamics: Problem 4 (1 point) Problems Problem 1 A hot metal bar is submerged in a large reservoir of water whose temperature is 70°F. The temperature of the bar 20 seconds after submersion is 100°F. After 1 minute submerged, the temperature has cooled to 80°F. Problem 2 Problem 3 a) Determine the cooling constant k. Problem 4 k1 b) What is the differential equation satisfied by the temperature F(t) of the bar? Ft = Use F for F(t). c) What is the formula for Ft? F d) Determine the temperature of the bar at the moment it is submerged. Initial temperature = 150°F. Full Google Search or type URL A

Play audio

Feedback

Powered by NumerAI

Madhur L and 67 other subject Chemistry 101 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Hi, now we are going to find the cooling constant.

00:03 The given temperature of reservoir is 60 degree fahrenheit.

00:18 So we have tr is equal to 60 degree fahrenheit.

00:23 And after 20 seconds, the temperature will be 90 degree fahrenheit.

00:27 So, t of 20 is equal to 90 degree fahrenheit.

00:33 After one minute, it will be 70 degree fahrenheit.

00:36 So we have t of 60 is equal to 70 degree fahrenheit.

00:43 Now we are going to use the formula f of t is equal to tr plus t1 minus tr into e power minus kt.

00:57 In this formula we are going to substitute the corresponding values.

01:01 Then we get f of t is equal to 60 plus t1 minus 60.

01:08 Into e power minus kt.

01:11 Now put t is equal to 20, then we get f of 20 is equal to 60 plus t1 minus 60 into e power minus 20k is equal to 90.

01:28 From this we get t1 minus 60 into e power minus 20k is equal to 30.

01:37 And i label this one as equation number 1.

01:41 And next put t is equal to 60.

01:44 Then we get f of 60 is equal to 60 plus t1 minus 60 into e power minus 60 k is equal to 70.

01:57 From this we get t1 minus 60 into e power minus 60 k is equal to 10.

02:05 And i label this one as equation number number...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later