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9:40
Study.com
Gerald Lemay
Partial Derivative | Definition, Rules & Examples
What is a Partial Derivative? Learn what symbol is used for partial derivatives. Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. Work through partial derivative examples with solutions.
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The symbol Δ has a meaning ofa. "is proportional to."b. "the ch... | Filo
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3 months ago
SOLVED:(a) Take the definition of the coefficient of volume expansion to be β=.(1)/(V) (d V)/(d T)|P= constant =(1)/(V) (∂V)/(∂T) Use the equation of state for an ideal gas to show that the coefficient of volume expansion for an ideal gas at constant pressure is given by β=1 / T, where T is the absolute temperature. (b) What value does this expression predict for βat 0^∘ C ? Compare this result with the experimental values for helium and air in Table 16.1 . Note that these are much larger than t
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