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Questions and Answers
A student measures the mass of a sample three times and obtains the following values: 15.5 g, 15.6 g, and 15.7 g. The true mass of the sample is known to be 16.8 g. Which statement best describes the student's measurements?
A student measures the mass of a sample three times and obtains the following values: 15.5 g, 15.6 g, and 15.7 g. The true mass of the sample is known to be 16.8 g. Which statement best describes the student's measurements?
- Neither accurate nor precise.
- Accurate but not precise.
- Both accurate and precise.
- Precise but not accurate. (correct)
In a laboratory experiment, four students each made three measurements of the length of a metal rod. The actual length of the rod is 25.0 cm. Which student's measurements display both high accuracy and high precision?
In a laboratory experiment, four students each made three measurements of the length of a metal rod. The actual length of the rod is 25.0 cm. Which student's measurements display both high accuracy and high precision?
- Student 3: 24.5 cm, 25.5 cm, 26.0 cm
- Student 4: 26.0 cm, 26.0 cm, 26.0 cm
- Student 1: 24.8 cm, 24.9 cm, 25.0 cm (correct)
- Student 2: 25.2 cm, 25.3 cm, 25.1 cm
A chemist performs an experiment to determine the concentration of a solution. Which scenario indicates the presence of systematic error?
A chemist performs an experiment to determine the concentration of a solution. Which scenario indicates the presence of systematic error?
- The chemist's values are inconsistent and show no discernible pattern.
- The chemist's values are close to each other but fluctuate above and below the true value.
- The chemist consistently obtains values that are higher than the true value. (correct)
- The chemist obtains a wide range of values that are randomly scattered around the true value.
A student weighs a sample on a balance and records the mass as 10.25 g. Later, the student discovers that the balance was not calibrated correctly and consistently reads 0.05 g too high. What type of error is this?
A student weighs a sample on a balance and records the mass as 10.25 g. Later, the student discovers that the balance was not calibrated correctly and consistently reads 0.05 g too high. What type of error is this?
What is the term for the extent to which repeated measurements yield the same result?
What is the term for the extent to which repeated measurements yield the same result?
In a chemical reaction, the theoretical yield of a product is 25.0 grams. A student performs the reaction and obtains 20.0 grams of the product. What is the percent yield?
In a chemical reaction, the theoretical yield of a product is 25.0 grams. A student performs the reaction and obtains 20.0 grams of the product. What is the percent yield?
A chemist measures the mass of a compound to be 5.00 g, but the true mass is 5.20 g. Calculate the absolute error.
A chemist measures the mass of a compound to be 5.00 g, but the true mass is 5.20 g. Calculate the absolute error.
The accepted value for a standard solution's concentration is 0.100 M. A student performs an experiment and obtains a value of 0.095 M. Calculate the percent relative error.
The accepted value for a standard solution's concentration is 0.100 M. A student performs an experiment and obtains a value of 0.095 M. Calculate the percent relative error.
A goldsmith weighs a piece of gold and records a weight of 1.45 g, but its actual weight is 1.50 g. Calculate the relative error.
A goldsmith weighs a piece of gold and records a weight of 1.45 g, but its actual weight is 1.50 g. Calculate the relative error.
Three students independently perform the same experiment to determine the density of a metal. Their results are: Student 1: 7.85 g/mL, Student 2: 7.88 g/mL, Student 3: 7.82 g/mL. If the true density of the metal is 7.84 g/mL, which statement is most accurate?
Three students independently perform the same experiment to determine the density of a metal. Their results are: Student 1: 7.85 g/mL, Student 2: 7.88 g/mL, Student 3: 7.82 g/mL. If the true density of the metal is 7.84 g/mL, which statement is most accurate?
What is the purpose of using carbon-12 ($^{12}C$) as the standard for determining relative atomic masses?
What is the purpose of using carbon-12 ($^{12}C$) as the standard for determining relative atomic masses?
Why is the average atomic mass of carbon listed as 12.01 amu on the periodic table, rather than exactly 12 amu?
Why is the average atomic mass of carbon listed as 12.01 amu on the periodic table, rather than exactly 12 amu?
Chlorine has two isotopes: $^{35}Cl$ with a mass of 34.968 amu and $^{37}Cl$ with a mass of 36.956 amu. If the relative abundance of $^{35}Cl$ is 75.77% and $^{37}Cl$ is 24.23%, what is the average atomic mass of chlorine?
Chlorine has two isotopes: $^{35}Cl$ with a mass of 34.968 amu and $^{37}Cl$ with a mass of 36.956 amu. If the relative abundance of $^{35}Cl$ is 75.77% and $^{37}Cl$ is 24.23%, what is the average atomic mass of chlorine?
What is the definition of a 'mole' in chemistry?
What is the definition of a 'mole' in chemistry?
What is the approximate value of Avogadro's number?
What is the approximate value of Avogadro's number?
How many hydrogen atoms are present in 0.75 mol of $C_6H_{12}O_6$?
How many hydrogen atoms are present in 0.75 mol of $C_6H_{12}O_6$?
What is the molar mass of methane ($CH_4$)? (Atomic mass: C = 12.01 amu, H = 1.008 amu)
What is the molar mass of methane ($CH_4$)? (Atomic mass: C = 12.01 amu, H = 1.008 amu)
If a sample has a mass of 46 grams and its molar mass is 92 g/mol, how many moles are in the sample?
If a sample has a mass of 46 grams and its molar mass is 92 g/mol, how many moles are in the sample?
What is the percentage composition of carbon in ethanol ($C_2H_5OH$)? (Molar mass: C = 12.01 g/mol, H = 1.008 g/mol, O = 16.00 g/mol)
What is the percentage composition of carbon in ethanol ($C_2H_5OH$)? (Molar mass: C = 12.01 g/mol, H = 1.008 g/mol, O = 16.00 g/mol)
Determine the percentage composition of oxygen in sodium oxalate ($Na_2C_2O_4$). (Molar mass: Na = 22.99 g/mol, C = 12.01 g/mol, O = 16.00 g/mol)
Determine the percentage composition of oxygen in sodium oxalate ($Na_2C_2O_4$). (Molar mass: Na = 22.99 g/mol, C = 12.01 g/mol, O = 16.00 g/mol)
Which of the following is a valid unit for molar mass?
Which of the following is a valid unit for molar mass?
A reaction requires 2.0 moles of reactant A (molar mass = 50 g/mol). What mass of reactant A is needed?
A reaction requires 2.0 moles of reactant A (molar mass = 50 g/mol). What mass of reactant A is needed?
Given the reaction: $2H_2 + O_2 → 2H_2O$. If 4.0 grams of $H_2$ react completely, how many grams of $H_2O$ are produced? (Molar mass: $H_2$ = 2.0 g/mol, $H_2O$ = 18.0 g/mol)
Given the reaction: $2H_2 + O_2 → 2H_2O$. If 4.0 grams of $H_2$ react completely, how many grams of $H_2O$ are produced? (Molar mass: $H_2$ = 2.0 g/mol, $H_2O$ = 18.0 g/mol)
Consider the following balanced equation: $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$. If you start with 6.022 x $10^{23}$ molecules of $N_2$, how many molecules of $NH_3$ can be produced, assuming excess $H_2$?
Consider the following balanced equation: $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$. If you start with 6.022 x $10^{23}$ molecules of $N_2$, how many molecules of $NH_3$ can be produced, assuming excess $H_2$?
For the reaction $2CO(g) + O_2(g) \rightarrow 2CO_2(g)$, if you have 4 moles of CO and 3 moles of $O_2$, which reactant is the limiting reactant?
For the reaction $2CO(g) + O_2(g) \rightarrow 2CO_2(g)$, if you have 4 moles of CO and 3 moles of $O_2$, which reactant is the limiting reactant?
In the reaction $A + 2B \rightarrow C$, if the molar mass of A is 20 g/mol and the molar mass of B is 10 g/mol, what mass of B is required to completely react with 10 g of A?
In the reaction $A + 2B \rightarrow C$, if the molar mass of A is 20 g/mol and the molar mass of B is 10 g/mol, what mass of B is required to completely react with 10 g of A?
A compound is found to contain 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen by mass. What is its empirical formula?
A compound is found to contain 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen by mass. What is its empirical formula?
A compound has an empirical formula of $CH_2O$ and a molar mass of 180 g/mol. What is its molecular formula?
A compound has an empirical formula of $CH_2O$ and a molar mass of 180 g/mol. What is its molecular formula?
If 5.0 g of methane ($CH_4$) is completely combusted, what mass of carbon dioxide ($CO_2$) is produced? (Molar mass: CH4 = 16 g/mol, CO2 = 44 g/mol)
If 5.0 g of methane ($CH_4$) is completely combusted, what mass of carbon dioxide ($CO_2$) is produced? (Molar mass: CH4 = 16 g/mol, CO2 = 44 g/mol)
Consider the reaction: $2A + B \rightarrow C$. If 100 g of A (molar mass 25 g/mol) reacts with 80 g of B (molar mass 40 g/mol), which reactant is limiting?
Consider the reaction: $2A + B \rightarrow C$. If 100 g of A (molar mass 25 g/mol) reacts with 80 g of B (molar mass 40 g/mol), which reactant is limiting?
If the percentage composition of hydrogen in a compound is 2.016%, and the molar mass of the compound is 100 g/mol, what is the mass of hydrogen in one mole of the compound?
If the percentage composition of hydrogen in a compound is 2.016%, and the molar mass of the compound is 100 g/mol, what is the mass of hydrogen in one mole of the compound?
In mass spectrometry, what causes ions with lower molecular weight to deflect more than ions with higher molecular weight?
In mass spectrometry, what causes ions with lower molecular weight to deflect more than ions with higher molecular weight?
Using the diagram showing targets, which of the following best describes 'Jane's' shooting?
Using the diagram showing targets, which of the following best describes 'Jane's' shooting?
What distinguishes relative error from absolute error in measurements?
What distinguishes relative error from absolute error in measurements?
Why is it important to distinguish between accuracy and precision in scientific measurements?
Why is it important to distinguish between accuracy and precision in scientific measurements?
How does the mass spectrometer differentiate between isotopes of the same element?
How does the mass spectrometer differentiate between isotopes of the same element?
Flashcards
What is error in measurement?
What is error in measurement?
Difference between observed/measured value and true value.
What is relative error?
What is relative error?
Error expressed as a fraction of true value.
What is Accuracy?
What is Accuracy?
Closeness of measurement to true value.
What is Precision?
What is Precision?
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What is Stoichiometry?
What is Stoichiometry?
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What is relative atomic mass?
What is relative atomic mass?
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What is average atomic mass?
What is average atomic mass?
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What is a mole?
What is a mole?
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What is Avogadro's number?
What is Avogadro's number?
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What is molar mass?
What is molar mass?
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What is percentage composition?
What is percentage composition?
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Study Notes
CHM 101/FSC 112 Topics
- Covers errors, accuracy, and precision
- Explores stoichiometry
Intended Learning Outcomes
- Ability to measure error
- Ability to explain accuracy and precision
- Understanding and application of the Mole concept to calculations
Errors in Measurements
- All measurements involving a numerical answer include some degree of error.
- Errors come from the instruments and/or personal errors when analysts fail to accurately read instruments
- Measurement error is the difference between the observed/measured value and the true value
- Also known as the absolute error: Absolute error = measured value - true value
Relative Error
- Errors can be expressed as relative error and percentage relative error
- Relative error = absolute error/true value
- % relative error = |absolute error|/true value x 100
Accuracy and Precision
- Accuracy is the degree of agreement between the measured value and the true value
- Precision is the extent to which results agree with one another, or repeatability of a result
Example To Determine Accuracy and Precision
- Student A's measurements: 1.964 g, 1.978 g, 1.960 g
- Student B's measurements: 1.968 g, 1.969 g, 1.973 g
- Student C's measurements: 2.001 g, 2.002 g, 2.003 g
- True value: 2.000g
- Student C is the most accurate and precise
Stoichiometry
- Deals with the quantities of materials/substances consumed (reactants) and produced (products) in chemical reactions
- Understanding this requires understanding of certain concepts
Relative Atomic Masses
- Atoms, being very small, cannot be weighed individually, making it impossible to weigh a single atom
- The mass of an atom can only be determined relative to another experimentally
- Carbon 12 is the standard, with a mass of exactly 12 atomic mass units and provides the standard for measuring atomic mass of other elements
Average Atomic Mass
- Atomic mass of carbon is 12.01 instead of 12.00 due to isotopes i.e two atoms having the same atomic number but different mass number)
- The average atomic mass can be calculated using the relative abundance
Average Atomic Mass Example
- Carbon-12 has a relative abundance of 98.89%
- Carbon-13 has a relative abundance of 1.11%
Avogadro's Number and the Mole
- A mole is the amount of substance containing as many atoms, molecules, or other particles as there are in exactly 12 g of carbon-12
- Samples have multiple atoms, a "mole" has been established to measure them
- Equal to the number of carbon atoms in exactly 12 g of pure Carbon-12
- 12 g of Carbon-12 contains 6.023 x 10e23 atoms
- 6.023 x 10e23 = Avogadro's Number
Examples of Moles
- 1 mole of Carbon-12 = 6.023 x 10e23 atoms
- 1 mole of Hâ‚‚O molecules = 6.023 x 10e23 Hâ‚‚O molecules
- 1 mole of NO3- ions = 6.023 x 10e23 NO3- ions
- 1 mole of H atoms = 6.023 x 10e23 atoms
- 1 mole of O atoms = 6.023 x 10e23 atoms
- 1 mole of Hâ‚‚ molecules = 6.023 x 10e23 molecules
The Molar Mass
- The mass (in grams) of one mole of a compound
- Determined by summing the atomic masses of all component atoms
Molar Mass Examples
- One mole of Magnesium atom = 24.31 g - molar mass is 24.31 g/mol
- Molar mass of methane (CH4) is CH4 = (12.01 x 1) + (1.008 x 4) = 16.04 g/mol
Molar Mass Formula
- No of moles = mass / molar mass
Percentage Composition of Elements
- To determine the percentage composition of elements in a compound, determine molar mass of compound, then determine the mass ratios and percent
Percentage Composition Example
- Determine the percentage composition of ethanol (C2H5OH)
- % C = 52.13%, % H = 13.15%, % O = 34.72%
- Determine the percentage composition of sodium oxalate (Na2C2O4)
- % Na = 34.31%, % C = 17.93%, % O = 47.76%
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