A mountain climber's oxygen tank contains \(1 \mathrm{lb}\) of oxygen when he begins his trip at sea level where the acceleration of gravity is \(32.174 \mathrm{ft} / \mathrm{s}^{2}\). What is the weight of the oxygen in the tank when he reaches the top of Mt. Everest where the acceleration of gravity is \(32.082 \mathrm{ft} / \mathrm{s}^{2}\) ? Assume that no oxygen has been removed from the tank; it will be used on the descent portion of the climb.