6.png - (1 point When a hot object is placed in a water...

This preview shows page 1 out of 1 page.

Unformatted text preview: (1 point) When a hot object is placed in a water bath whose temperature is 25"C, it cools from 100"C to 50"C in 195s. In another bath, the same cooling occurs in 175s. Find the temperature of the second bath. The temperature of the second bath = 20.1025 *C Solution: Solution: With To = 25'C, the temperature of the object is given by F(t) = 25 + Ce * for some constants C and k. From the initial condition, F(0) = 25 + C = 100, so C = 75. After 195 seconds, F(195) = 25 + 75e-195k = 50, so k =--osln 2% ~ 0.00563391s-1 If we place the same object with a temperature of 100"C into a second bath whose temperature is To , then the temperature of the object is given by F(t) = To + Ce-0.0056339It, where F(0) = To + C = 100, so F(t) = To + (100 - To)e-0.00563391t To cool from 100'C to 50"C in 175s, To must satisfy To + (100 - To)e-0.00563391(175) = 50. Thus, To = 20.2437'C....
View Full Document

  • Fall '14
  • Harshad number, e-0.00563391t

{[ snackBarMessage ]}

Get FREE access by uploading your study materials

Upload your study materials now and get free access to over 25 million documents.

Upload now for FREE access Or pay now for instant access
Christopher Reinemann
"Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

Ask a question for free

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern