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
Roman55 [17]
2 years ago
14

How mant grams are there in 7.15 x 10^24 molecules of water?

Chemistry
2 answers:
AysviL [449]2 years ago
8 0

Answer:

\boxed {\boxed {\sf B. \ 214 \ g }}

Explanation:

We are asked to find the mass of a given number of water (H₂O) molecules.

<h3>1. Convert Molecules to Moles</h3>

First, we convert molecules to moles. We will use Avogadro's Number or 6.022 × 10²³. This is the number of particles (atoms, molecules, formula units, etc.) in 1 mole of a substance. In this case, the particles are molecules of water. Therefore,<u> there are 6.022 ×10²³ molecules of water in 1 mole of water</u>.

We will convert using dimensional analysis, so we must set up a ratio using the underlined information.

\frac {6.022 \times 10^{23} \ molecules \ H_2O}{1 \ mol \ H_2O}

We are converting 7.15 × 10²⁴ molecules of water to moles, so we multiply the ratio by that value.

7.15 \times 10^{24} \ molecules \ H_2O*\frac {6.022 \times 10^{23} \ molecules \ H_2O}{1 \ mol \ H_2O}

Flip the ratio so the units of molecules of water cancel each other out.

7.15 \times 10^{24} \ molecules \ H_2O*\frac {1 \ mol \ H_2O} {6.022 \times 10^{23} \ molecules \ H_2O}

7.15 \times 10^{24} *\frac {1 \ mol \ H_2O} {6.022 \times 10^{23} }

\frac {7.15 \times 10^{24}} {6.022 \times 10^{23} } \ mol \ H_2O

11.87313185\ mol \ H_2O

<h3>2. Convert Moles to Grams </h3>

Next, we convert moles to grams. We will use the molar mass. This is the mass of 1 mole of a substance. These values are found on the Periodic Table. They are equivalent to the atomic masses, but the units are grams per mole instead of atomic mass units.

Look up the molar masses of the individual elements in water: hydrogen and oxygen.

  • H: 1.008 g/mol
  • O: 15.999 g/mol

There is a subscript of 2 after H, so there 2 moles of hydrogen in 1 mole of water. Multiply the molar mass by 2 before adding oxygen's molar mass.

  • H₂: 1.008 * 2 = 2.016 g/mol
  • H₂O: 2.016 + 15.999 = 18.015 g/mol

We convert using dimensional analysis again and set up another ratio.

\frac {18.015 \ g \ H_2O}{ 1 \ mol \ H_2O}

Multiply by the number of moles we just calculated.

11.87313185 \ mol \ H_2O *\frac {18.015 \ g \ H_2O}{ 1 \ mol \ H_2O}

The units of moles of water cancel.

11.87313185  *\frac {18.015 \ g \ H_2O}{ 1 }

213.8944703 \ g \ H_2O

The original measurement of molecules has 3 significant figures, so our answer must have the same. For the number we found, that is the one place. The 8 in the tenths place tells us to round the 3 up to a 4.

214 \ g \ H_2O

There are approximately <u>214 grams of water</u> and <u>choice B</u> is correct.

worty [1.4K]2 years ago
4 0

Answer:

B. 214.02

Explanation:

1 mol of water weighs 18.015 gm and contains 6.023 × 10²³ molecules

From question, We have 7.15 × 10²⁴ molecules

Dividing we get (7.15 × 10 ²⁴) ÷ ( 6.023 × 10²³) = 11.871 molecules

Now, Weight of water = 11.871 × 18.015 = 213.85 which is nearer to option B

You might be interested in
A heat energy of 645 J is applied to a sample of glass with a mass of 28.4 g. Its temperature increases from –11.6 ∞C to 15.5 ∞C
Anika [276]
The heat that is required to raise the temperature of an object is calculated through the equation,
                        heat = mass x specific heat x (T2 - T1)
Specific heat is therefore calculated through the equation below,
                                specific heat = heat / (mass x (T2 - T1))
Substituting,
                                specific heat = 645 J / ((28.4 g)(15.5 - - 11.6))
The value of specific heat from above equation is 0.838 J/g°C. 
5 0
3 years ago
Suppose a solution is described as concentrated. Which of the following statements can be concluded? Select the correct answer b
Novosadov [1.4K]

Answer:

  • last option: none of<u> the above.</u>

Explanation:

Describing a solution as<em> concentrated</em> tells that the solution has a relative large concentration, but it is a qualitative description, not a quantitative one, so this does not tell really how concentrated the solution is. This is, the term concentrated is a kind of vague; it just lets you know that the solution is not very diluted, but, as said initially, that there is a relative large amount (concentration) of solute.

One conclusion, of course, is that <u>the solute is soluble</u>: else the solution were not concentrated.

On the other hand, the terms saturated and <em>supersaturated</em> to define a solution are specific.

A saturated solution has all the solute that certain amount of solvent can contain, at a given temperature. A <u>supersaturated solution has more solute dissolved than the saturated solution</u> at the same temperature; superstaturation is a very unstable condition.

From above, there is no way that you can conclude whether a solution is supersaturated or not from the statement that a solution is concentrated, so the answer is<u> none of the above</u>.

5 0
3 years ago
why would you expect to see similar rocks and rock structures on two land masses that were connected at one time?
tangare [24]
If they were connected at one time than you would expect to find similar rock structures because they eroded, weathered, and we’re formed most likely at the same time out of the same material. So basically since they were near each other they were under the same or similar conditions.
3 0
3 years ago
Which is the correctly balanced chemical equation for the reaction of KOH and H2SO4?
Aleks04 [339]
<span>i think the answer should be 2KOH +H2SO4=K2SO4+2H20</span>
4 0
3 years ago
Read 2 more answers
The time it takes to run a kilometer depends on the amount of exercise a person gets.
Debora [2.8K]
<span>The amount of exercise that a person gets would be the independent variable, as it would impact the amount of time it would take to run the kilometer, with time being the dependent variable.</span>
3 0
3 years ago
Other questions:
  • The density of solid aluminum is 2.70 . If a 1g peice of aluminum is dropped in a cup of water, it will . (The density of water
    14·1 answer
  • A change in matter that produces one or more new substances is a(n)
    6·1 answer
  • Find concentration of each ions:<br> 600.0 ml of solution containing 1.50 grams of Cr(NO3)2
    6·1 answer
  • Complete the Lewis Dot structure for the molecule H-C≡N and determine how many bonding and non-bonding electrons nitrogen has:
    10·1 answer
  • Calculate the mass percent (m/m) of a solution prepared by dissolving 55.84 g of nacl in 152.7 g of h2o.
    9·1 answer
  • Naturally occurring solid mixture of one or more minerals and organic matter
    11·1 answer
  • Waste from garbage in landfills can enter the ground and pollute soil and water
    10·1 answer
  • Suppose you had 2.0158 grams of hydrogen (H2).
    9·1 answer
  • 7. There are 7. 0 ml of 0.175 M H2C2O4 , 1 ml of water , 4 ml of 3.5M KMnO4 what is the molar concentration ofH2C2O4 ?
    12·1 answer
  • There are moles of carbon present in 100 g of a
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!