BITSAT 2024 Shift 1 Paper

According to the Arrhenius equation:
log‌k=log‌A−‌

Ea

2303RT

For a first-order reaction, the rate constant k can be expressed in terms of half-life (t1∕2) as:
k=‌

0.693

t1∕2

=‌

0.693

600 s

=1.1×10−3 s−1
Next, we substitute the value of k into the Arrhenius equation:
log(1.1×10−3)=log(4×1013)−‌

98.6×103

2.303×8.314×T

Solving for T, we find:
T=311.15K