Mathematical Relationships - Revision history

Conrad: Remove the Rows section (anchor names are documented on Template:Rt)

2026-10-25T21:52:17Z

Remove the Rows section (anchor names are documented on Template:Rt)

Conrad: Row anchors as zero-height blocks above the image, so a row link shows the whole table

2026-10-25T21:41:11Z

Row anchors as zero-height blocks above the image, so a row link shows the whole table

Conrad: Show the official table image instead of a wikitext copy; row anchors now land on the image

2026-10-25T21:39:50Z

Show the official table image instead of a wikitext copy; row anchors now land on the image

Conrad: Make the Regents Exam Questions table scroll sideways on narrow screens instead of widening the page

2026-10-25T21:31:24Z

Make the Regents Exam Questions table scroll sideways on narrow screens instead of widening the page

Conrad: Chemistry reference tables (2025 Edition): new reference table page

2026-10-25T19:50:35Z

Chemistry reference tables (2025 Edition): new reference table page

New page

{{Chemreftable
|name=Mathematical Relationships
|prev=Mathematical and Computational Models
|next=Selected Units
|desc=Mathematical Relationships from the NYS Chemistry Reference Tables (2025 Edition): K = C + 273.15, 1 atm = 101.3 kPa, and 1 mole = molar mass in grams = 6.02 x 10 to the 23 particles = 22.4 L of an ideal gas at STP, with the definition of STP. Supports HS-PS1-9 and HS-PS1-7.
}}
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]].

{| class="wikitable"
|- id="temperature"
! Temperature
| K = °C + 273.15
|- id="pressure"
! Pressure
| 1 atm = 101.3 kPa
|- id="mole"
! rowspan="3" | 1 mole
| = molar mass (g)
|-
| = 6.02 × 10<sup>23</sup> particles
|-
| = 22.4 L (ideal gas at STP)
|}
'''Note:''' Standard Temperature and Pressure (STP) conditions are 273.15 K and 1 atm.

== What the relationships table shows ==
'''Temperature.''' K = °C + 273.15 converts Celsius temperatures to kelvin, which is what the [[Mathematical and Computational Models#combined-gas-law|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 × 10<sup>23</sup> 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.

{| class="wikitable" style="width:100%; text-align:center"
! style="padding: 0.5em 1.5em;" | Exam
! style="padding: 0.5em 1.5em;" | Cluster
! style="padding: 0.5em 1.5em;" | Question
! style="padding: 0.5em 1.5em;" | Standard
! style="padding: 0.5em 1.5em;" | Row
|-
| rowspan="3" style="background-color:white;" | [[August 2026 Chemistry Exam|August 2026 Chemistry Regents]]
| style="background-color:white;" | [[Questions:Electricity Generation in New York State|Electricity Generation in New York State]]
| style="background-color:white;" | [[Questions:Electricity Generation in New York State#q3|Question 3]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|-
| style="background-color:white;" | [[Questions:Catalytic Converter in Cars|Catalytic Converter in Cars]]
| style="background-color:white;" | [[Questions:Catalytic Converter in Cars#q2|Question 31]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|-
| style="background-color:white;" | [[Questions:Parade of Balloons|Parade of Balloons]]
| style="background-color:white;" | [[Questions:Parade of Balloons#q4|Question 42]]
| style="background-color:white;" | [[HS-PS1-9]]
| style="background-color:white;" | K = °C + 273.15
|-
| rowspan="4" style="background-color:white;" | [[June 2026 Chemistry Exam|June 2026 Chemistry Regents]]
| style="background-color:white;" | [[Questions:Chemistry of Beverages|Chemistry of Beverages]]
| style="background-color:white;" | [[Questions:Chemistry of Beverages#q1|Question 6]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|-
| style="background-color:white;" | [[Questions:Balloon Arches|Balloon Arches]]
| style="background-color:white;" | [[Questions:Balloon Arches#q2|Question 24]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|-
| style="background-color:white;" | [[Questions:Balloon Arches|Balloon Arches]]
| style="background-color:white;" | [[Questions:Balloon Arches#q4|Question 26]]
| style="background-color:white;" | [[HS-PS1-9]]
| style="background-color:white;" | K = °C + 273.15
|-
| style="background-color:white;" | [[Questions:Clock Reaction|Clock Reaction]]
| style="background-color:white;" | [[Questions:Clock Reaction#q5|Question 32]]
| style="background-color:white;" | [[HS-PS1-10]]
| style="background-color:white;" | Mole relationships
|-
| rowspan="2" style="background-color:white;" | [[Chemistry sample question clusters|Chemistry sample clusters]] (spring 2025)
| style="background-color:white;" | [[Questions:Smartphone Chemistry Sample Cluster|Smartphone Chemistry]]
| style="background-color:white;" | [[Questions:Smartphone Chemistry Sample Cluster#q3|Question 3]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|-
| style="background-color:white;" | [[Questions:PSC A Profitable Blueberry Field|A Profitable Blueberry Field]]
| style="background-color:white;" | [[Questions:PSC A Profitable Blueberry Field#q4|Question 4]]
| style="background-color:white;" | [[HS-PS1-7]]
| style="background-color:white;" | Mole relationships
|}

← Older revision		Revision as of 21:52, 25 October 2026
Line 18:		Line 18:

	'''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.		'''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.
−
−	~~== Rows ==~~
−	~~A link or an <code><nowiki>{{Rt}}</nowiki></code> chip ([[Template:Rt]]) can point at one equation or constant with these anchors; each one lands on the table above:~~
−	* <code>temperature</code> – K = °C + 273.15
−	* <code>pressure</code> – 1 atm = 101.3 kPa
−	* <code>mole</code> – Mole relationships

	== Regents Exam Questions ==		== Regents Exam Questions ==

@@ Line 7: / Line 7: @@
 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]].
-<span id="temperature"></span><span id="pressure"></span><span id="mole"></span>[[File:Mathematical Relationships.png|520px|class=img-fluid|alt=Mathematical Relationships from the Chemistry Reference Tables (2025 Edition)]]
+<div id="temperature"></div><div id="pressure"></div><div id="mole"></div>
 == What the relationships table shows ==

@@ Line 36: / Line 36: @@
 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.
 {| class="wikitable" style="width:100%; text-align:center"
 ! style="padding: 0.5em 1.5em;" | Exam
@@ Line 91: / Line 92: @@
 | style="background-color:white;" | Mole relationships
 |}