We can use Boyle's Law to solve this problem, which states that the pressure of a gas is inversely proportional to its volume when the temperature and amount of gas are constant. Mathematically, we can express this as:
P1V1 = P2V2
where P1 and V1 are the initial pressure and volume, respectively, and P2 and V2 are the final pressure and volume, respectively.
Plugging in the given values, we get:
(0.76 atm)(6.47 L) = P2(62 L)
Simplifying, we get:
P2 = (0.76 atm)(6.47 L) / 62 L = 0.079 atm
Therefore, the new pressure is 0.079 atm.