1. Tardigrade
  2. Question
  3. Chemistry
  4. The first order decomposition of di-tel-butylperoxide (DTBP) to acetone and ethane is given by the equation: C 8 H 18 O 2( g ) longrightarrow 2 CH 3 COCH 3( g )+ C 2 H 6( 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:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The first order decomposition of di-tel-butylperoxide (DTBP) to acetone and ethane is given by the equation:
$C _{8} H _{18} O _{2}( g ) \longrightarrow 2 CH _{3} COCH _{3}( g )+ C _{2} H _{6}( g )$
The half-life of reaction is $80\, \min$. at $147^{\circ} C$. Starting with pure DTBP (pressure $=800$ torr) in a flask of constant volume, maintained at $147^{\circ} C$, the time (in min) at which the partial pressure of acetone becomes $1400$ torr, is:

Chemical Kinetics

Solution:

image
$=100\, \min$
Given $2 P=1400$
$P =700\, \min$
Time required for pressure of $C _{8} H _{18} O _{2}$ to be $100\, \min =3 t_{1 / 2}$
$=3 \times 80=240\, \min$