1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VikaD [51]
3 years ago
6

A thermometer having first-order dynamics with a time constant of 1 min is placed in a temperature bath at 100oF. After the ther

mometer reaches steady state, it is suddenly placed in a bath at 110oF at t = 0 and left there for 1 min, after which it is immediately returned to the bath at 100oF.(a) Plot the variation of the thermometer reading with time (No hand-sketched plot please).(b) Calculate the thermometer reading at t = 0.5 min and at t = 2.0 min.

Chemistry
1 answer:
sveticcg [70]3 years ago
6 0

Answer:

(a) See below

(b) 103.935 °F; 102.235 °F

Explanation:

The equation relating the temperature to time is

T = T_{0} + \Delta T\left (1 - e^{-t/\tau} \right )

1. Calculate the thermometer readings after  0.5 min and 1 min

(a) After 0.5 min

\begin{array}{rcl}T & = & T_{0} + \Delta T\left (1 - e^{-t/\tau} \right )\\ & = & 100 + 10\left (1 - e^{-0.5/1} \right )\\ & = & 100 + 10\left (1 - e^{-0.5} \right )\\ & = & 100 + 10 (1 - 0.6065)\\ & = & 100 + 10(0.3935)\\ & = & 100 + 3.935\\ & = & 103.935\,^{\circ}F\\\end{array}

(b) After 1 min

\begin{array}{rcl}T & = & T_{0} + \Delta T\left (1 - e^{-t/\tau} \right )\\ & = & 100 + 10\left (1 - e^{-1/1} \right )\\ & = & 100 + 10\left (1 - e^{-1} \right )\\ & = & 100 + 10 (1 - 0.3679)\\ & = & 100 + 10(0.6321)\\ & = & 100 + 6.321\\ & = & 106.321\,^{\circ}F\\\end{array}

2. Calculate the thermometer reading after 2.0 min

T₀ =106.321 °F

ΔT = 100 - 106.321 °F = -6.321 °F

  t = t - 1, because the cooling starts 1 min late

\begin{array}{rcl}T & = & T_{0} + \Delta T\left (1 - e^{-(t - 1)/\tau} \right )\\ & = & 106.321 - 6.321\left (1 - e^{-(2 - 1)/1} \right )\\ & = & 106.321 - 6.321\left (1 - e^{-1} \right )\\ & = & 106.321 - 6.321 (1 - 0.3679)\\ & = & 106.321 - 6.321 (0.6321)\\ & = & 106.321 - 3.996\\ & = & 102.325\,^{\circ}F\\\end{array}

3. Plot the temperature readings as a function of time.

The graphs are shown below.

You might be interested in
An unknown material has a mass of 5.75 g and a volume of 7.5 cm3.
Shtirlitz [24]

Hey there!:

Mass = 5.75 g

Volume = 7.5 cm³

Therefore:

Density = mass / volume

D = 5.75 / 7.5

D = 0.7 g/cm³

Answer C

Hope that helps!

3 0
3 years ago
What is the total number of hydrogen atoms in a molecule of heptyne?
Step2247 [10]

Answer:

12

Explanation:

alkyne formula is CnH2n-2

heptyne = 7

6 0
3 years ago
If you add enzyme to a solution containing only the product(s) of a reaction, would you expect any substrate to form?
Masteriza [31]

Answer:

e

Explanation:

<em>Provided the reaction that leads to the formation of the products can proceed in both forward and backward directions, the correct answer would be yes because the reaction will proceed backward until equilibrium is reached.</em>

<u>For a reaction that can proceed both forward and backward, the addition of a catalyst increases the rate of reaction in both directions based on the fact that a catalyst cannot alter the equilibrium of a reaction. </u>

Hence, if an enzyme is added to the product of a reaction that has the potential to proceed in both forward and reverse reactions, a substrate would be expected to form because the reaction will proceed backward until an equilibrium is reached.

The correct option is e.

8 0
2 years ago
What is the name for this type of reproduction?​
mario62 [17]

Answer:

----------------------------------------------

Reproduction is defined as the production of individuals of the same species, that is the next generation of the species.

----------------------------------------------

There are basically two types of reproduction - asexual and sexual.

----------------------------------------------

Asexual reproduction involves only one parent and the offspring is

genetically similar to the parent ...

----------------------------------------------

The different types of asexual reproduction are fission, budding, fragmentation, spore formation and vegetative propagation.

----------------------------------------------

Sexual reproduction is a type of reproduction that involves a complex life cycle in which a gamete (such as a sperm or egg cell) with a single set of chromosomes combines with another to produce a organism composed of cells with two sets of chromosomes .

Asexual reproduction is a type of reproduction which does not involve the fusion of gametes or change in the number of chromosomes. The offspring that arise by asexual reproduction from a single cell or from a multicellular organism inherit the genes of that parent.

Explanation:

Your very welcome!!! :) :) :)

4 0
3 years ago
Which of the following are physical properties of nonmentals
coldgirl [10]

You did not provide any options.

6 0
2 years ago
Other questions:
  • A He-Ne laser (wavelength λ = 600 nm) shines through a double slit of unknown separation d onto a screen 1.44 m away from the sl
    12·1 answer
  • The atomic mass for Fluorine is greater than 9. The atomic number for Fluorine is 9, so the NUCLEUS of the atom has: *
    5·1 answer
  • Where do expect to find the most reactive metals on the periodic table;?
    15·2 answers
  • Based on your answer to part c, how many bonding electrons and nonbonding electrons are there in the lewis structure of hcn? ent
    5·1 answer
  • What bonds break? select that apply
    7·1 answer
  • 8. Referring to the metabolic process involving glucose, calculate the maximum number of moles of ATP that can be synthesized fr
    5·1 answer
  • Fill in the chart to identify how scientists represent matter and chemical changes in matter.
    12·1 answer
  • What volume, IN MILLILITERS, of 5.0M HCl solution is required to react with 3.00 g or magnesium metal?
    14·1 answer
  • How many mililiters is 0.55 L
    9·1 answer
  • Name this alkane.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!