Calculating the New Volume of a Helium-Filled Balloon

In order to calculate the new volume of the helium-filled balloon, we need to use the ideal gas law formula, which is:

p1v1/t1 = p2v2/t2

Given data:

• Initial pressure (p1) = 0.998 atm
• Initial volume (v1) = 2.1 L
• Initial temperature (t1) = 36°C
• Final pressure (p2) = 0.900 atm
• Final temperature (t2) = 28°C
• Unknown final volume (v2)

Let's plug in the values and solve for the final volume:

(0.998)(2.1)/(36+273) = (0.900)(v2)/(28+273)

2.0958/309 = 0.9(v2)/301

0.0068 = v2/301

v2 = 2.3 L

Therefore, the new volume of the helium-filled balloon at the different elevation would be 2.3 L.