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Unformatted text preview: T h e C o m b i n e d G a s L a w Manipulating Variables in equations • Often in an equation we want to isolate some variable, usually the unknown • From math: what ever you do to one side of an equation you have to do to the other side • Doing this keeps both sides the same • E.g. x + 5 = 7 , what does x equal? • We subtract 5 from both sides … • x + 5 – 5 = 7 – 5, thus x = 2 • Alternatively, we can represent this as 5 moving to the other side of the equals sign … • x + 5 = 7 becomes x = 7 – 5 or x = 2 • Thus, for addition or subtraction, when you change sides you change signs Multiplication and division • We can do a similar operation with multiplication and division • E.g. 5x = 7, what does x equal? • We divide each side by 5 (to isolate x) … • 5x/5 = 7/5 … x = 7/5 … x = 1.4 • Alternatively, we can represent this as 5 moving to the other side of the equals sign … • 5x = 7 becomes x = 7/5 • Thus, for multiplication and division, when you change sides you change position (top to bottom, bottom to top) Multiplication and division...
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 Fall '10
 Sullivan
 kPa, Combined Gas Law

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