To calculate the volume of helium gas, you can use the ideal gas law equation, PV = nRT.
Given:
Pressure (P) = 202.6 kPa
Temperature (T) = 400 K
Number of moles (n) = 0.050 mol
Gas constant (R) = 8.314 L∙kPa/K∙mol
Now, we can rearrange the equation to solve for volume (V):
V = (nRT)/P
Substituting the values:
V = (0.050 mol * 8.314 L∙kPa/K∙mol * 400 K) / 202.6 kPa
Calculating this, the volume needed to store 0.050 moles of helium gas is approximately 0.820 L.