If ( z = x + y ), then ( \delta z = \sqrt(\delta x)^2 + (\delta y)^2 ).
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Before writing an equation, visualize the molecules. If a gas is compressed (volume decreases), the math must show an increase in pressure. The physical intuition guides the algebra. If ( z = x + y ),
into the integral, chemists derive the formula for isothermal expansion work: If a gas is compressed (volume decreases), the
m=PVMRTm equals the fraction with numerator cap P cap V cap M and denominator cap R cap T end-fraction
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is directly proportional to its current concentration, modified by a rate constant