Answer: 0.000602 moles of helium gas
Step-by-step explanation:
We can use the ideal gas law to solve this problem
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
First, we need to convert the given volume of 11.6 L to cubic meters:
V = 11.6 L = 0.0116 m^3
Next, we can plug in the given values:
PV = nRT
n = PV/RT
n = (1.48 atm) (0.0116 m^3) / [(0.08206 L atm/mol K) (305 K)]
n = 0.000602 moles of helium
Therefore, the sample contains 0.000602 moles of helium gas.