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In a closed reaction vessel, pressure "P(atm)" is found to vary with time "t(s)" according to the following linearized equation: P = a (1/t3) + b What are the units of a? A. a = atm.s3 B. a = 1/s3 C. a = atm D. a = atm/s3

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dsdrajlin

Answer:

The units of a are A. a = atm.s³.

Explanation:

In the equation P = a (1/t³) + b, both terms "a (1/t³)" and "b" must have units of pressure, e.g., atm. Regarding units, we can say:

[tex]P=a.\frac{1}{t^{3} }[/tex]

We can solve this for a:

[tex]P=a.\frac{1}{t^{3} }\\a=P.t^{3}[/tex]

If we replace P and t with proper units, then

a = P.t³ = atm.s³

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