Answer : The concentration of SO₃ in the vessel 0.240 seconds later is, 0.24 M
Explanation :
The expression used for second order kinetics is:
![kt=(1)/([A_t])-(1)/([A_o])](https://img.qammunity.org/2021/formulas/physics/college/tlg6nth7imx9pwjb4oksbydlkeyozanniz.png)
where,
k = rate constant = 

t = time = 0.240 s
![[A_t]](https://img.qammunity.org/2021/formulas/chemistry/high-school/c6se0yk0a5jz0ud2m1a9jh5tv0rk9jx59i.png) = final concentration = ?
 = final concentration = ?
![[A_o]](https://img.qammunity.org/2021/formulas/physics/college/3jrctnxyrdjmiz9ngr0s6o9r3hdvpo6qhe.png) = initial concentration = 1.44 M
 = initial concentration = 1.44 M
Now put all the given values in the above expression, we get:
![14.1* 0.240=(1)/([A_t])-(1)/(1.44)](https://img.qammunity.org/2021/formulas/chemistry/high-school/t6nofad2qz64aq65gq57mq5ttg1xwjis8e.png)
![[A_]t=0.24M](https://img.qammunity.org/2021/formulas/chemistry/high-school/4ohqq6f8cktzahnypwebuq5rlunyqehxvq.png)
Therefore, the concentration of SO₃ in the vessel 0.240 seconds later is, 0.24 M