Question

You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?

Name: You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?
Uploaded: 2022-11-05T09:50:59-08:00
Duration: 5 min 5 s
Channel: Adi S
Description: You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?

          You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?

You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?

Added by Frank M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

11/05/2022

Step 1

Step 1: Use the Newton's Law of Cooling equation: \(T(t) = T_s + (T_0 - T_s)e^{-rt}\), where \(T(t)\) is the temperature at time \(t\), \(T_s\) is the surrounding temperature, \(T_0\) is the initial temperature, \(r\) is the cooling rate, and \(e\) is the base of Show more…

Show all steps

Thanks for your feedback!

You boil water to make tea. When you pour the water into your teapot, the temperature is 100° C. After 5 minutes in your 15° C room, the temperature of the tea is 85° C. Solve the equation to determine the temperatures of the tea at time t. How long must you wait until the tea is at a drinkable temperature (72° C)?