Answer : The value of the constant for a second order reaction is,
![0.51M^(-1)s^(-1)](https://img.qammunity.org/2021/formulas/physics/college/aqpkvuug0vaxywuesdikt159ogv60feai0.png)
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 = 17s
= final concentration = 0.0981 M
= initial concentration = 0.657 M
Now put all the given values in the above expression, we get:
![k* 17s=(1)/(0.0981M)-(1)/(0.657M)](https://img.qammunity.org/2021/formulas/physics/college/6oyxfe8duwr15pw6xzj07643nsoyy9yjf5.png)
![k=0.51M^(-1)s^(-1)](https://img.qammunity.org/2021/formulas/physics/college/47kl4a93vjmweog2rllr408w3gq0iz9gdi.png)
Therefore, the value of the constant for a second order reaction is,
![0.51M^(-1)s^(-1)](https://img.qammunity.org/2021/formulas/physics/college/aqpkvuug0vaxywuesdikt159ogv60feai0.png)