We report an experimental measurement of the temporal dependence of th
e area A(us) in a two-dimensional soap froth which has not been swept
by the passage of soap films up to time t, as the froth coarsens from
an initial time to within the scaling regime. We find A(us) stales wit
h the mean cell area [A] as A(us) proportional to [A](-theta'), with a
first-passage exponent theta' = 1.16 +/- 0.02; and for the average pe
rimeter [P]: [P] proportional to [A](psi') and A(us) proportional to [
P](phi') with values of the scaling exponents psi' = 0.49 +/- 0.01 and
phi' = 2.38 +/- 0.02. We also find a scaling function in A(us)(t)/A(u
s)(t(0)) versus [A(t)]/[A(t(0))].