Answer:
![M_(acid)=0.114M](https://img.qammunity.org/2022/formulas/chemistry/college/1l1faeswconuyb4a913ua9wa3fo0xq9s7e.png)
Step-by-step explanation:
Hello there!
In this case, according to the given information, it is possible for us to firstly write the chemical equation whereby sulfuric acid is titrated with sodium hydroxide:
![H_2SO_4+2NaOH\rightarrow Na_2SO_4+2H_2O](https://img.qammunity.org/2022/formulas/chemistry/college/zew6wu4ymf7uaa2sdamj3qpfnb85r015xx.png)
Whereas the mole ratio of acid to base is 1:2 and therefore, the relationship between the volumes and molarities is:
![2M_(acid)V_(acid)=M_(base)V_(base)](https://img.qammunity.org/2022/formulas/chemistry/high-school/fmeyf23ummaa10tgarzv376hamkw4ezd3w.png)
Thus, we solve for the required molar concentration of the acid as shown below:
![M_(acid)=(M_(base)V_(base))/(2V_(acid)) \\\\M_(acid)=(0.100M*45.65mL)/(2*20.00mL)\\\\M_(acid)=0.114M](https://img.qammunity.org/2022/formulas/chemistry/college/a1vjb4i1k93lz1qy40cd1ua6vwae9sa47i.png)
Regards!