A balloon is filled with air and then tied via a string to the bottom of a tank of water, fully sub- merged as shown in the figure. If the temperature of the water increases, which of the follow- ing statements are true? Assume the air in the balloon acts like an ideal gas, the whole system is brought to equilibrium at the new temperature, and the balloon stays at the same depth in the water. (a) The buoyancy force on the balloon will decrease, while the tension in the string will increase. (b) The buoyancy force on the balloon will increase, while the tension in the string will decrease. (c) Both the buoyancy force on the balloon and the tension in the string will increase. (d) Both the buoyancy force on the balloon and the tension in the string will decrease