Weather balloons filled with hydrogen gas are occasionally reported as UFOs. They can reach altitudes of about 38 km. What volume does 8.90 mol of hydrogen gas in a weather balloon occupy at SATP?
To calculate the volume of hydrogen gas at SATP, we first need to determine the conditions at SATP. SATP stands for Standard Ambient Temperature and Pressure, which is defined as 25°C (298 K) and 1 atm pressure.
The ideal gas law can be used to calculate the volume of the gas:
PV = nRT
Where:
P = pressure (1 atm)
V = volume
n = number of moles of gas (8.90 mol)
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature (298 K)
Rearranging the equation to solve for V, we get:
V = (nRT) / P
V = (8.90 mol)(0.0821 L·atm/mol·K)(298 K) / (1 atm)
V = 228.058 L
Therefore, 8.90 mol of hydrogen gas in a weather balloon would occupy a volume of 228.058 liters at SATP.