Answer:
The answer is 286.36 cm³
Step-by-step explanation:
In order to find the volume be at 101.3 kPa we use Boyle's law which is
![P_1V_1 = P_2V_2](https://img.qammunity.org/2021/formulas/chemistry/college/fxekn8n9ovsrdxe1ruji7l6v174xunazlc.png)
where
P1 is the initial pressure
P2 is the final pressure
V1 is the initial volume
V2 is the final volume
Since we are finding the final volume
![V_2 = (P_1V_1)/(P_2) \\](https://img.qammunity.org/2021/formulas/chemistry/high-school/a9irg5gqnjwspj0qygfdnp0ukpv2e4soiq.png)
From the question
P1 = 112 kPa = 112000 Pa
V1 = 259 cm³
P2 = 101.3 kPa = 101300 Pa
We have
![V_2 = (112000 * 259)/(101300) = (29008000)/(101300) \\ = 286.3573543...](https://img.qammunity.org/2021/formulas/chemistry/high-school/6gfmhpn6hyr83bzq6cbrmkvcqd7m8uub0z.png)
We have the final answer as
286.36 cm³
Hope this helps you