Answer : The pressure at this new altitude is, 364.2 mmHg
Explanation :
Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.
![P\propto (1)/(V)](https://img.qammunity.org/2021/formulas/physics/high-school/c8nvqpp73572vgqfzr0w0zxo0bkzz86byp.png)
or,
![P_1V_1=P_2V_2](https://img.qammunity.org/2021/formulas/physics/high-school/z2nkrx5zmdtkkms997yjs4edj5t3o0sadf.png)
where,
= initial pressure = 760 mmHg
= final pressure = ?
= initial volume = 62.3 L
= final volume = 130 L
Now put all the given values in the above equation, we get:
![760mmHg* 62.3L=P_2* 130L](https://img.qammunity.org/2021/formulas/chemistry/college/ghgm0epv8uwl6npmstlgvmkwx095st27lt.png)
![P_2=364.2mmHg](https://img.qammunity.org/2021/formulas/chemistry/college/zjybee40hpawybrap0bn7pg8kkz932ykmi.png)
Thus, the pressure at this new altitude is, 364.2 mmHg