Answer:
![V'=1040ml](https://img.qammunity.org/2022/formulas/chemistry/college/i3zo5dgmydk3f6argn3pm36794elh417wq.png)
Step-by-step explanation:
From the question we are told that:
Initial Volume
![V_1=10.5mL](https://img.qammunity.org/2022/formulas/chemistry/college/sp614c31y424j3gop4nd9ao0f3ssjeeboa.png)
Initial Aciditity of
![HN0_3 pH_1=2.0g](https://img.qammunity.org/2022/formulas/chemistry/college/895t0mubba3i74xgltp2dl6rkequsez7ik.png)
Finial Aciditity of
![HN0_3 pH_2=4.0g](https://img.qammunity.org/2022/formulas/chemistry/college/bxaox40seo8mk59ep8lgjcb7asxcmpzwsv.png)
Generally the equation for Acidity &Volume Relationship is mathematically given by
![N_1V_1=N_2V_2](https://img.qammunity.org/2022/formulas/chemistry/college/2nakcj1emzkxwxq1fcxlb5e9uxlf6e34jt.png)
Therefore
![V_2=(N_1V_2)/(N_2)](https://img.qammunity.org/2022/formulas/chemistry/college/hyaki159bad2fn1z7yl35kpe1w2ozm1ag5.png)
![V_2=(10^(-2)*10.5)/(10^(-4))V_2=1050ml](https://img.qammunity.org/2022/formulas/chemistry/college/do0ku9rax0u4zbfm2gk6tn54308havix8r.png)
Therefore
Change in Water volume is
![V'=V_2-V_1](https://img.qammunity.org/2022/formulas/chemistry/college/nqi7bie17e2faf0ltpnza2a5l0k0g5qm59.png)
![V'=1050ml-10ml](https://img.qammunity.org/2022/formulas/chemistry/college/f9h51hzzposdpibqs7yw5jiqf63hc1sqzd.png)
![V'=1040ml](https://img.qammunity.org/2022/formulas/chemistry/college/i3zo5dgmydk3f6argn3pm36794elh417wq.png)