Answer : The final volume at STP is, 1000 L
Explanation :
According to the Boyle's, law, the pressure of the gas is inversely proportional to the volume of gas at constant temperature and moles of gas.
![P\propto \frac{1}{V}](https://tex.z-dn.net/?f=P%5Cpropto%20%5Cfrac%7B1%7D%7BV%7D)
or,
![P_1V_1=P_2V_2](https://tex.z-dn.net/?f=P_1V_1%3DP_2V_2)
where,
= initial pressure = 1520 mmHg = 2 atm (1 atm = 760 mmHg)
= final pressure at STP = 1 atm
= initial volume = 500.0 L
= final volume at STP = ?
Now put all the given values in the above formula, we get:
![2atm\times 500.0L=1atm\times V_2](https://tex.z-dn.net/?f=2atm%5Ctimes%20500.0L%3D1atm%5Ctimes%20V_2)
![V_2=1000L](https://tex.z-dn.net/?f=V_2%3D1000L)
Therefore, the final volume at STP is, 1000 L