*Case Study: *
Analysis of Linear Equations: *pV *=* nRT *

Produced by Graham Currell, University of the
West of England, Bristol and David Read, University of Southampton, in association with:, and

● Royal Society of Chemistry, 'Discover Maths for Chemists' website

**This is a draft version of a new
Study Guide - any comments, corrections or suggestions welcome** -
graham.currell@uwe.ac.uk

This study unit aims to develop the skills for handling
linear equations in science and uses the ideal gas equation, *pV* = *nRT*,
as the scientific context for developing these skills.

This is achieved by a series of **video tips** and associated
**QVAs - questions **with **video worked answers**.

**Introduction
**Except at high pressures and low temperatures, the
behaviour of most gases can be described by the ‘ideal gas’ equation:

* pV *= *nRT*

* p*

* R*

Calculations based on the analysis of the ideal gas
equation, *pV* = *nRT*, using Excel are also developed in:

*Study Guide*:
Analysis of Experimental Error/Uncertainty using Excel.

**1. Rearrangement of equation: **

QVAs - questions + video answers

Video Tip: SIX rules for rearranging equations.

Additional help:
*Study Guide*: Rearranging equations.

**2. Substitution of values: **

QVAs - questions + video answers

Video Tip: Using the rules of BODMAS

Additional help:* *
Self-assessment for BODMAS

Video Tip: Using 'powers of ten' for scientific (standard) notation in a calculator and Excel

**3. Changing units: **

QVAs - questions + video answers

Additional help:
*Study Guide*: Units of
Measurement in Science.

**4. Analysis of a straight line: **

QVAs - questions + video answers

Additional help:
*Study Guide*:
Analysis of Experimental Error/Uncertainty using Excel.

Additional help: **Chapter 4,
"Essential Mathematics and Statistics for
Science"**

**5. Uncertainty in replicate measurements: **

QVAs - questions + video answers

Additional help:
*Study Guide*:
Analysis of Experimental Error/Uncertainty using Excel.

Additional help: **Sections 8.2, 8.3,
"Essential Mathematics and Statistics for
Science"**

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