Difference between revisions of "Mathematical Relationships"

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The '''Mathematical Relationships''' table from the ''Reference Tables for Physical Science: Chemistry'' (2025 Edition) gives three relationships and a note defining STP. The temperature and pressure rows support [[HS-PS1-9]] (gas law calculations need kelvin, and STP is defined here); the mole row supports [[HS-PS1-7]] and the concentration calculations in [[HS-PS1-10]].
 
The '''Mathematical Relationships''' table from the ''Reference Tables for Physical Science: Chemistry'' (2025 Edition) gives three relationships and a note defining STP. The temperature and pressure rows support [[HS-PS1-9]] (gas law calculations need kelvin, and STP is defined here); the mole row supports [[HS-PS1-7]] and the concentration calculations in [[HS-PS1-10]].
  
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<div id="temperature"></div><div id="pressure"></div><div id="mole"></div>
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[[File:Mathematical Relationships.png|520px|class=img-fluid|alt=Mathematical Relationships from the Chemistry Reference Tables (2025 Edition)]]
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! Temperature
 
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| K = °C + 273.15
 
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|- id="pressure"
 
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! Pressure
 
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| 1 atm = 101.3 kPa
 
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|- id="mole"
 
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! rowspan="3" | 1 mole
 
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| = molar mass (g)
 
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|-
 
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| = 6.02 × 10<sup>23</sup> particles
 
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|-
 
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| = 22.4 L (ideal gas at STP)
 
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|}
 
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'''Note:''' Standard Temperature and Pressure (STP) conditions are 273.15 K and 1 atm.
 
  
 
== What the relationships table shows ==
 
== What the relationships table shows ==
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Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.
 
Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.
  
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! style="padding: 0.5em 1.5em;" | Exam
 
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| style="background-color:white;" | Mole relationships
 
| style="background-color:white;" | Mole relationships
 
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Latest revision as of 17:52, 25 October 2026

⇱ All Chemistry Reference Tables (2025 Edition)
← Mathematical and Computational Models Selected Units →

The Mathematical Relationships table from the Reference Tables for Physical Science: Chemistry (2025 Edition) gives three relationships and a note defining STP. The temperature and pressure rows support HS-PS1-9 (gas law calculations need kelvin, and STP is defined here); the mole row supports HS-PS1-7 and the concentration calculations in HS-PS1-10.

Mathematical Relationships from the Chemistry Reference Tables (2025 Edition)

What the relationships table shows

Temperature. K = °C + 273.15 converts Celsius temperatures to kelvin, which is what the combined gas law needs. The 2011 edition rounded the conversion to 273; the 2025 edition uses 273.15, and the answer keys of the released questions do too (298.15 K for 25 °C).

Pressure. 1 atm = 101.3 kPa converts between the two pressure units on the exam. The 2025 tables give pressures in kilopascals and atmospheres only; there is no mm Hg or torr.

1 mole. One mole of a substance has a mass equal to its molar mass in grams (the sum of the average atomic masses from the Periodic Table of the Elements), contains 6.02 × 1023 particles (atoms, molecules, formula units or ions), and, for an ideal gas at STP, occupies 22.4 L. The first relationship is the one every mass–mole stoichiometry calculation uses; the third turns up when a gas volume is asked for (August 2026 Q3).

STP. Standard temperature and pressure is 273.15 K and 1 atm (101.3 kPa). HS-PS1-9's clarification statement allows real gases at conditions near STP.

Regents Exam Questions

Released Regents questions that cannot be answered without this table, listed by exam. Each link opens the question with its answer key; the standard is the one the question assesses.