<u>Answer:</u> Work done for the process is -390 J
<u>Explanation:</u>
The chemical equation for the reaction of zinc metal with sulfuric acid follows:
![Zn+H_2SO_4\rightarrow ZnSO_4+H_2](https://tex.z-dn.net/?f=Zn%2BH_2SO_4%5Crightarrow%20ZnSO_4%2BH_2)
To calculate the number of moles, we use the equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B%5Ctext%7BMolar%20mass%7D%7D)
Given mass of zinc = 10.0 g
Molar mass of zinc = 65.38 g/mol
Putting values in above equation, we get:
![\text{Moles of zinc}=\frac{10.0g}{65.38g/mol}=0.153mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20zinc%7D%3D%5Cfrac%7B10.0g%7D%7B65.38g%2Fmol%7D%3D0.153mol)
The equation given by ideal gas follows:
![P\Delta V=nRT](https://tex.z-dn.net/?f=P%5CDelta%20V%3DnRT)
where, P = pressure of the gas
= Change in volume of the gas
T = Temperature of the gas = 298 K
R = Gas constant = 8.314 J/mol.K
n = number of moles of gas = 0.153 mol
Putting values in above equation, we get:
![P\Delta V=0.153mol\times 8.314J/mol.K\times 298K\\\\P\Delta V=397J](https://tex.z-dn.net/?f=P%5CDelta%20V%3D0.153mol%5Ctimes%208.314J%2Fmol.K%5Ctimes%20298K%5C%5C%5C%5CP%5CDelta%20V%3D397J)
To calculate the work done, we use the equation:
![\text{Work done}=-P\Delta V\\\\W=-390J](https://tex.z-dn.net/?f=%5Ctext%7BWork%20done%7D%3D-P%5CDelta%20V%5C%5C%5C%5CW%3D-390J)
Hence, work done for the process is -390 J