The first order decomposition of di-*tert*-butylperoxide (DTBP) to acetone and ethane is given by the equation:
C8H18O2(g)⟶2CH3COCH3(g)+C2H6(g)
The half-life of reaction is 80 min. at 147∘C. Starting with pure DTBP (pressure = 800 torr) in a flask of constant volume, maintained at 147∘C, the time (in min) at which the partial pressure of acetone becomes 1400 torr, is :