Final answer:
The balloon with a volume of 26.4 kiloliters at STP contains approximately 1,179 moles of gas when rounded to the nearest whole number.
Step-by-step explanation:
The question asks to calculate the number of moles of gas in a 26.4 kiloliter balloon at Standard Temperature and Pressure (STP). To do so, we will use the concept of molar volume. At STP, 1 mole of any gas occupies 22.4 liters. Thus, we can set up a conversion factor to convert volume to moles.
To find the number of moles in a 26.4 kiloliter balloon, we start by converting kiloliters to liters since the molar volume is given in liters: 26.4 kiloliters is 26,400 liters. Then we use the molar volume to calculate the number of moles:
Number of moles = Volume of gas / Molar volume = 26,400 L / 22.4 L/mol
Upon dividing, we get approximately 1,178.57 moles. Since the question asks for a whole number, we round to the nearest whole number, which gives us 1,179 moles.