Calculate Number of Moles for a Given Empirical Mass and Atomic Mass

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Ruth Hand

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2 years, 6 months ago

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Christian Lawson-Perfect 2 years, 5 months ago

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Ruth Hand 2 years, 6 months ago

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Daniel Miles 2 years, 7 months ago

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Question statement

Calculate the number of moles in {empirical_mass}g of {chemical_formula_compositions[chemical_formula_names[index]]["symbolic_form"]}.

The atomic masses are as given in the following table.

Symbol	m/z
{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][0]]["symbol"]}	{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][0]]["mass"]}
{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][1]]["symbol"]}	{atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][1]]["mass"]}

Give any introductory information the student needs.

			Name	Type	Generated Value

index	integer	6
empirical_mass	integer	9
chemical_formula_names	list	List of 10 items
chemical_formula_compositions	dict	Dictionary with 10 entries
atomic_mass_dictionary	dict	Dictionary with 7 entries
round2ans	decimal	dec("0.13")
round1ans	decimal	dec("0.1")
atom_text	list	List of 42 items
moles	rational	1/8

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(0..9)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

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Generated value: `integer`

→ Used by:

moles
round1ans
round2ans

This variable doesn't seem to be used anywhere.

Advice

Recall that one mole of a substance, whose (average) atomic molecular mass is $X$ , has an empirical mass of $X$ g.

One molecule of {chemical_formula_compositions[chemical_formula_names[index]]["symbolic_form"]} contains {chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][0]} {atom_text[chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][0]]} of {chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][0]} and {chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][1]} {atom_text[chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][1]]} of {chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][1]}, thus, based upon the above table, we have an overall atomic molecular mass of {chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][0]} × {atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][0]]["mass"]} + {chemical_formula_compositions[chemical_formula_names[index]]["frequencies"][1]} × {atomic_mass_dictionary[chemical_formula_compositions[chemical_formula_names[index]]["elements_involved"][1]]["mass"]} = {chemical_formula_compositions[chemical_formula_names[index]]["mass"]}.

Hence, one mole of {chemical_formula_compositions[chemical_formula_names[index]]["symbolic_form"]} weighs {chemical_formula_compositions[chemical_formula_names[index]]["mass"]}g.

Since we need {empirical_mass}g of {chemical_formula_compositions[chemical_formula_names[index]]["symbolic_form"]}, we take $\frac{\var{empirical_mass}}{\var{chemical_formula_compositions[chemical_formula_names[index]]["mass"]}}$ moles.
= {round2ans} moles (2 decimal places).

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This question is used in the following exams:

Chemistry W2 by Izabela Walczak in Chemistry.
Scientific calculations by Ruth Hand in MASH Bath: Moodle quizzes and TS.
Scientific Maths Training Space by Ruth Hand in MASH Bath: Moodle quizzes and TS.
Chemistry quiz by Yahya Saleh in Yahya's workspace.

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Calculate Number of Moles for a Given Empirical Mass and Atomic Mass

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Taxonomy: mathcentre

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Taxonomy: Context

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Christian Lawson-Perfect 2 years, 5 months ago

Ruth Hand 2 years, 6 months ago

Daniel Miles 2 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Number entry

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Error

Calculate Number of Moles for a Given Empirical Mass and Atomic Mass

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 2 years, 5 months ago

Ruth Hand 2 years, 6 months ago

Daniel Miles 2 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`