For a first order reaction, the rate constant is derived by the formula as follows: k=‌
2.303
t
‌log‌
a
a−x
Substitute all the values to calculate k k=‌
2.303
40
‌log‌
1
0.25
=0.0575×0.602 =0.0346 ‌ Rate ‌=k[A] ‌‌‌‌=0.0346×0.1 ‌‌‌‌=0.00346 ‌‌‌‌=3.46×10−3molL−1min−1 Therefore, the rate is approximate to 3.44×10−3molL−1min−1