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# Helium Test Problems The document contains a series of calculations related to measuring the concentration of helium in the lungs. It appears to be a set of problems, and the solutions are being shown. The information provided describes the methods to work out the final quantities based on initi...

# Helium Test Problems The document contains a series of calculations related to measuring the concentration of helium in the lungs. It appears to be a set of problems, and the solutions are being shown. The information provided describes the methods to work out the final quantities based on initial conditions. **Problem 1:** * **Initial Volume:** 5.0 Liters * **Initial Helium Concentration:** 11% * **Final Helium Concentration:** 7% **Calculations:** * $C_1 V_1 = C_2 V_2$ * $0.11 \times 5.0 = 0.07 \times V_2$ * $V_2 = 7.85$ liters * $V_2 = 7.85 - 5.00 = 2.85$ liters **Problem 2:** * **Initial Volume:** 6.5 Liters * **Initial Helium Concentration:** 9% * **Final Helium Concentration:** 7% **Calculations:** * $C_1 V_1 = C_2 V_2$ * $0.09 \times 6.5 = 0.07 \times V_2$ * $V_2 = 8.3$ liters. * Difference $8.3-6.5 = 1.85$ liters. These problems all relate to spirometry tests and calculations of final volume of gas given the initial volume and percentage concentration of helium. It looks like students are working through calculating the final volume of a spirometer given values for initial volume and concentration of helium before and after inhalation.