6.21 × 10²² Carbon Atoms
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 C₄H₁₀ 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
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 . These units can be atoms or molecules.
The formula to calculate the moles of is as follows:
…… (1)
Substitute 1.50 g for the given mass and 58.1 g/mol for the molar mass of in equation (1).
Since one mole of has of . Therefore the formula to calculate the molecules of butane is as follows:
…… (2)
Substitute 0.0258 mol for the moles of and for Avogadro’s number in equation (2).
The chemical formula of butane is . This indicates one molecule of butane has four atoms of carbon. Therefore the number of carbon atoms can be calculated as follows:
Learn more:
Answer details:
Grade: Senior School
Chapter: Mole concept
Subject: Chemistry
Keywords: 1.50 g, 58.1 g/mol, butane, C4H10, Avogadro’s number, C atoms, molecules, moles, one mole, chemical formula, carbon atoms, molar mass of C4H10, given mass of C4H10.
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.
Answer:
Explanation:
Moles of
Moles of
For the given chemical reaction, the equation follows:
By Stoichiometry:
1 mole of oxygen reacts with 1 mole of carbon disulphide
So, 1.2 moles of oxygen reacts with = 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.
Answer:
b
Explanation:
Answer:
13 N to the right
Explanation: