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
leva [86]
4 years ago
15

Suppose you have exactly 1 cup (237 g) of hot (100.0 °C) brewed tea in an insulated mug and that you add to it 2.50 × 10² g of i

ce initially at −18 °C. If all of the ice melts, what is the final temperature of the tea? Assume the tea has the same thermal properties as water.
Chemistry
1 answer:
san4es73 [151]4 years ago
6 0

Answer:

Final Temperature = 298.28 K (25.28°C)

Explanation:

First off, lets least out our parameters (What we were given).

Mass of Tea (Mt) = 237g

Initial temp. of tea (T1) = 100 °C + 273 = 373K (Converting  to Kelvin)

Mass of Ice (Mi) = 2.50 × 10² g = 250g

Initial temp. of ice (T1) = -18 °C + 273 = 255K (Converting  to Kelvin)

If all the ice melts

Amount of Heat required to melt the ice [H]  = Amount of heat required to raise its temperature to 0°C or 273K (Melting point) [H1] + Heat of Fusion [H2]

H1 = MiCΔT

ΔT = T2 - T1 = 255 - 273 = -18K

C = 2.09 J/gK (Specific Heat capacity of Ice)

H1 = 250 * 2.09 * (-18)

H1 = -9405 J

H2 = m·ΔHf

ΔHf = Heat of fusion of ice = 334 J/g

H2 = 250 * 334

H2 = 83500 J

Amount of Heat required to melt the ice [H] = H1 +  H2

H = -9405 + 83500 = 74095 J

This means the heat was able to supply 74095 J to the tea.

Final temperature is calculated from:

H = MtCΔT

ΔT = H/MtC

ΔT = 74095/(237 * 4.184)

ΔT = 74095 / 991.61

ΔT = 74.72 K

With a temperature difference of 74. 72 K

Final temperature  = Initial temperature - 74.72K

T2 = 373 - 74.74

T2 = 298.28 K (25.28°C)

You might be interested in
To cook in a dry heat is.<br> 1-Baking<br> 2-Broiling<br> 3-Boiling<br> 4-Sauteing
Degger [83]

Answer:

Baking

Explanation:

4 0
3 years ago
Starting with: Lithium atomic mass: 7 g/mol atomic number: 3 Use Lithium as a starting place for A, B, and C. What would happen
marshall27 [118]

Answer:

a. _3^7Li

b. _{3}^{7}Li^+

c. _{3}^{8}Li

d. _{2}^{4}He^+

Explanation:

Given lithium with atomic mass (M = 7) and atomic number (Z = 3), we may write it in a standard notation placing the atomic mass as a superscript and the atomic number as a subscript:

_3^7Li

a. Atomic number corresponds to the total number of protons a species has. Adding a proton to lithium would increase the atomic number by 1 unit. Besides, changing the atomic number would also change the element, as each element has a unique atomic number.

It's also important to remember that mass of an atom consists of a sum of protons and neutrons, so we'd also have to add 1 to the mass number. Therefore, we would have some species X with:

_{3+1}^{7+1}X=_{4}^{8}X

Now we need to identify X finding an element with Z = 4 in the periodic table. This is beryllium:

_{4}^{8}Be

b. Standard lithium atom has an atomic number of 3, this means it has 3 protons. Since we have an atom, the positive charge provided by protons is equal to the negative charge provided by electrons. This implies that a neutral atom has the same number of protons and electrons.

We start with 3 electrons in lithium. Removing an electron would produce a lithium cation with a +1 charge, as we now have a net charge of +3 from protons and -2 from electrons.

Therefore, we may represent this as lithium cation with a +1 charge:

_{3}^{7}Li^+

c. Neutrons don't have a charge but they are a component of the total mass an atom has. Essentially, adding a neutron wouldn't change the overall charge (the atomic number) of lithium.

However, adding a neutron would cause the mass to increase by 1, as each neutron (as well as proton) weighs 1 atomic mass unit. Since the atomic number doesn't change, the element would still be lithium in that case:

_{3}^{7+1}Li=_{3}^{8}Li

d. Firstly, we remove a proton, this means the atomic number of Li decreases by 1 unit, as an atomic number is equal to the number of protons:

Z=3-1=2

The mass would also decrease by 1 unit, as mass contains the number of protons and neutrons:

M=7-1=6

That said, upon performing the first step, we have helium (atomic number of 2 in the periodic table) with a mass of 6:

_{2}^{6}He

Now, we also remove 2 neutrons. This means the mass decreases by 2 units and the charge of He remains constant, as no protons are involved in this step and neutrons don't change the charge of a nucleus:

_{2}^{6-2}He=_{2}^{4}He

Finally, an electron is removed. Removing an electron would produce a helium cation with charge +1, as we'd have 2 protons and 1 remaining electron upon removing 1 electron from helium that has a total of 2 electrons in its atomic state:

_{2}^{4}He^+

3 0
3 years ago
All atoms of a given element have the same?
solmaris [256]
The same number of protons.
Hope it helps!
3 0
3 years ago
Read 2 more answers
The satellite photograph shows an area in Alaska after a fire occurred. Which statement best describes the most likely effect th
Nataly [62]

Answer:

all of the bad stuff such as ashes and chemicals in the air from that fire could bring bad stuff to the water

Explanation:

3 0
3 years ago
Read 2 more answers
determine the kinetic energy of a 1000-kg roller coaster car that is moving with the speed of 20.0 m/s
Oksanka [162]
.5 (20 m/s)^2 = 200 Joules
7 0
3 years ago
Other questions:
  • Sort the following analytical techniques as either classical methods or instrumental methods.
    5·1 answer
  • What describes the change in oxidation states of the following reaction? mc027-1.jpg Cl– reduces to Cl and F oxidizes to F–. Cl–
    15·2 answers
  • If atmospheric pressure on a certain day is 749 mmHg, what is the partial pressure of nitrogen, given that nitrogen is about 78%
    10·1 answer
  • Which is true regarding covalent substances placed in water?
    15·2 answers
  • Given the ion C2O4-2, what species would you expect to form with each of the following ions?
    7·1 answer
  • I am kinda confused. Can anyone help me?
    5·1 answer
  • WILL GIVE BRILLIANTIEST.<br> does energy increase when carbon dioxide increases? yes or no?
    14·1 answer
  • Round the following number to four significant figures and express the result in standard exponential notation: 442,722 *
    13·1 answer
  • What is a net ionic equation?
    10·1 answer
  • (3 x 10^4) (4 x 10^23)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!