Question

A weather balloon contains 8.80 moles of helium at a pressure of 0.992 atm and a temperature of 25 °C at ground level. What is the volume of the balloon under these conditions?

a) 168 L
b) 192 L
c) 215 L
d) 240 L

Answer 1

To find the volume of the weather balloon, we can use the ideal gas law equation PV = nRT. By plugging in the given values and solving for V, we find that the volume of the balloon is approximately 215 L.

Step-by-step explanation:

To find the volume of the weather balloon, we can use the ideal gas law equation: PV = nRT.

Here, P represents pressure, V represents volume, n represents the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

First, we need to convert the temperature from °C to Kelvin by adding 273.15. So, the temperature becomes 25 + 273.15 = 298.15 K.

Next, we can rearrange the equation to solve for V: V = (nRT)/P.

Plugging in the given values, we get V = (8.80 mol)(0.08206 L atm/(mol K))(298.15 K)/(0.992 atm). Calculating this gives us V ≈ 215 L.