Question

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

Answer 1

The units of a are A. a = atm.s³.

Step-by-step 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:

`P=a.(1)/(t^(3) )`

We can solve this for a:

`P=a.(1)/(t^(3) )\\a=P.t^(3)`

If we replace P and t with proper units, then

a = P.t³ = atm.s³