A Balloon Time® tank holds 15% excess capacity to fill 50 helium balloons measuring 9” or 0.5 ft3 in volume at 1 atm and 22 oC. The gauge pressure of a new tank is 260 psi. What is the volume of a Balloon Time® tank in ft3?

To find the volume of a Balloon Time® tank in ft3, we need to first determine the volume of one helium balloon.

Given that the helium balloons have a volume of 0.5 ft3, we can calculate the volume of one balloon by dividing the total volume (0.5 ft3) by the number of balloons (50).

0.5 ft3 / 50 = 0.01 ft3

Now, since the tank holds 15% excess capacity, the volume of the tank will be larger than the sum of the volumes of the balloons.

To find the extra volume of the tank, we'll multiply the volume of one balloon by 15% and add it to the volume of one balloon.

Extra volume = 0.01 ft3 * 0.15 = 0.0015 ft3

Adding this extra volume to the volume of one balloon, we get the total volume of the tank.

Total volume = 0.01 ft3 + 0.0015 ft3 = 0.0115 ft3

Hence, the volume of a Balloon Time® tank is 0.0115 ft3.