The fuel used in many disposable lighters is liquid butane, C4H10. Butane has a molecular weight of 58.1 grams in one mole. How many carbon atoms are in 1.50 g of butane?

Answers

Answer 1
Answer:

Answer:

              6.21 × 10²² Carbon Atoms

Solution:

Data Given:

                 Mass of Butane (C₄H₁₀)  =  1.50 g

                 M.Mass of Butane  =  58.1 g.mol⁻¹

Step 1: Calculate Moles of Butane as,

                 Moles  =  Mass ÷ M.Mass

Putting values,

                 Moles  =  1.50 g ÷ 58.1 g.mol⁻¹

                 Moles  =  0.0258 mol

Step 2: Calculate number of Butane Molecules;

As 1 mole of any substance contains 6.022 × 10²³ particles (Avogadro's Number) then the relation for Moles and Number of Butane Molecules can be written as,

            Moles  =  Number of C₄H₁₀ Molecules ÷ 6.022 × 10²³ Molecules.mol⁻¹

Solving for Number of Butane molecules,

             Number of C₄H₁₀ Molecules  =  Moles × 6.022 × 10²³ Molecules.mol⁻¹

Putting value of moles,

     Number of C₄H₁₀ Molecules  =  0.0258 mol × 6.022 × 10²³ Molecules.mol⁻¹

                 Number of C₄H₁₀ Molecules  =  1.55 × 10²² CH₁₀ Molecules

Step 3: Calculate Number of Carbon Atoms:

As,

                            1 Molecule of C₄H₁₀ contains  =  4 Atoms of Carbon

So,

          1.55 × 10²² C₄H₁₀ Molecules will contain  =  X Atoms of Carbon

Solving for X,

 X =  (1.55 × 10²² C₄H₁₀ Molecules × 4 Atoms of Carbon) ÷ 1 Molecule of C₄H₁₀

X  =  6.21 × 10²² Atoms of Carbon

Answer 2
Answer:

\boxed{6.216 * {\text{1}}{{\text{0}}^{{\text{22}}}}{\text{ atoms}}} of carbon is present in 1.50 g of butane.

Further Explanation:

Avogadro’s number indicates how many atoms or molecules a mole can have in it. In other words, it provides information about the number of units that are present in one mole of the substance. It is numerically equal to {\text{6}}{\text{.022}} * {\text{1}}{{\text{0}}^{{\text{23}}}}\;{\text{units}}. These units can be atoms or molecules.

The formula to calculate the moles of {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} is as follows:

{\text{Moles of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} = \frac{{{\text{Given mass of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}}}{{{\text{Molar mass of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}}}                                                       …… (1)

Substitute 1.50 g for the given mass and 58.1 g/mol for the molar mass of  {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} in equation (1).

\begin{aligned}{\text{Moles of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} &= \left( {{\text{1}}{\text{.50 g}}} \right)\left( {\frac{{{\text{1 mol}}}}{{{\text{58}}{\text{.1 g}}}}} \right)\n&= {\text{0}}{\text{.0258 mol}}\n\end{aligned}

Since one mole of {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} has {\text{6}}{\text{.022}} * {\text{1}}{{\text{0}}^{{\text{23}}}}\;{\text{molecules}} of {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}. Therefore the formula to calculate the molecules of butane is as follows:

{\text{Molecules of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} = \left( {{\text{Moles of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}} \right)\left( {{\text{Avogadro's Number}}} \right)                        …… (2)

Substitute 0.0258 mol for the moles of {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}} and {\text{6}}{\text{.022}} * {\text{1}}{{\text{0}}^{{\text{23}}}}\;{\text{molecules}} for Avogadro’s number in equation (2).

 \begin{aligned}{\text{Molecules of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}{\mathbf{}}&=\left( {0.0258{\text{ mol}}} \right)\left( {\frac{{{\text{6}}{\text{.022}} * {\text{1}}{{\text{0}}^{{\text{23}}}}{\text{ molecules}}}}{{{\text{1 mol}}}}} \right)\n&= 1.554 * {\text{1}}{{\text{0}}^{{\text{22}}}}{\text{ molecules}} \n\end{aligned}

The chemical formula of butane is {{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}. This indicates one molecule of butane has four atoms of carbon. Therefore the number of carbon atoms can be calculated as follows:

 \begin{aligned}{\text{Atoms of carbon}} &= \left( {1.554 * {\text{1}}{{\text{0}}^{{\text{22}}}}{\text{ molecules}}} \right)\left( {\frac{{{\text{4 C atoms}}}}{{{\text{1 molecule of }}{{\text{C}}_{\text{4}}}{{\text{H}}_{{\text{10}}}}}}} \right)\n&= 6.216 * {\text{1}}{{\text{0}}^{{\text{22}}}}{\text{ C atoms}} \n\end{aligned}

Learn more:

  1. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: brainly.com/question/3064603
  2. Calculate the moles of ions in the solution: brainly.com/question/5950133

Answer details:

Grade: Senior School

Chapter: Mole concept

Subject: Chemistry

Keywords: 1.50 g, 58.1 g/mol, butane, C4H10, Avogadro’s number, 6.216*10^22 C atoms, 1.554*10^22molecules, moles, one mole, chemical formula, carbon atoms, molar mass of C4H10, given mass of C4H10.


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a. How much energy is needed to raise the temperature of a 75 g sample of aluminum from 22.4°C to 94.6°C?

Answers

To calculate the energy required to raise the temperature of a substance, you can use the formula:

Q = m * c * ΔT

Where:
Q is the energy (in joules)
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in joules per gram-degree Celsius)
ΔT is the change in temperature (in degrees Celsius)

For aluminum, the specific heat capacity is approximately 0.897 J/g°C.

Given:
Mass of aluminum (m) = 75 g
Specific heat capacity of aluminum (c) = 0.897 J/g°C
Change in temperature (ΔT) = 94.6°C - 22.4°C = 72.2°C

Substituting the values into the formula:

Q = 75 g * 0.897 J/g°C * 72.2°C

Calculating the result:

Q = 4846.35 J

Therefore, approximately 4846.35 joules of energy are needed to raise the temperature of a 75 g sample of aluminum from 22.4°C to 94.6°C.

Introduction:

Understanding the amount of energy required to change the temperature of a substance is fundamental in many fields, from chemistry and physics to engineering and everyday applications. In this case, we're looking at how much energy it takes to heat a 75 g sample of aluminum.

Specific Heat Capacity of Aluminum:

To determine the energy required, we first need to consider the specific heat capacity of aluminum. The specific heat capacity (c) is a unique property of each material and represents the amount of heat energy needed to raise the temperature of 1 gram of that substance by 1 degree Celsius (or 1 Kelvin). For aluminum, the specific heat capacity (c) is approximately 0.897 J/g°C (joules per gram per degree Celsius).

Mass of the Sample:

The next piece of the puzzle is the mass of the aluminum sample. You mentioned that it's 75 grams, so we'll use that value in our calculations.

Change in Temperature:

We're looking to raise the temperature of the aluminum from 22.4°C to 94.6°C. To find the change in temperature (ΔT), we subtract the initial temperature from the final temperature:

ΔT = 94.6°C - 22.4°C = 72.2°C

Calculating the Energy:

Now, we can use the specific heat capacity formula to calculate the energy (Q) needed to raise the temperature of the aluminum sample:

Q = m * c * ΔT

Where:

Q is the energy in joules (J).

m is the mass of the sample (75 g).

c is the specific heat capacity of aluminum (0.897 J/g°C).

ΔT is the change in temperature (72.2°C).

Plugging in these values:

Q = 75 g * 0.897 J/g°C * 72.2°C

Q ≈ 4863.15 J

Conclusion:

Therefore, approximately 4863.15 joules of energy are needed to raise the temperature of a 75 g sample of aluminum from 22.4°C to 94.6°C. This calculation is essential in various scientific and practical applications, from cooking to materials engineering, and helps us understand the energy requirements for temperature changes in different substances.

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Answers

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Answers

The balanced chemical reaction is:

CS2 + O2 = CO2 + 2S

We are given the amounts of the reactants. These amounts will be the starting point for the calculations. First, we convert these amounts into moles.

100 g CS2 (1 mol / 76.15 g ) = 1.3132 mol CS2
38 g O2 (1 mol / 32 g) = 1.1875 mol O2

From the reaction, the mole ratio of the reactants is 1:1. Therefore, the limiting reactant is CS2.

Answer: O_2

Explanation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}

Moles of CS_2=(100g)/(76g/mol)=1.3moles

Moles of O_2=(38g)/(32g/mol)=1.2moles

For the given chemical reaction, the equation follows:

CS_2+O_2\rightarrow CO_2+2S

By Stoichiometry:

1 mole of  oxygen reacts with 1 mole of carbon disulphide

So, 1.2 moles of oxygen reacts with = (1)/(1)* 1.2=1.2moles of carbon disulphide

As, the required amount of carbon disulphide is more than the required amount. Hence, it is considered as the excess reagent.  (1.3-1.2)= 0.1 mole will be left unused.

Oxygen is considered as a limiting reagent because it limits the formation of product.

Choose the correct one plz!

Answers

Answer:

b

Explanation:

Answer:

13 N to the right

Explanation: