Which of the following represents the relationship used by body plethysmography to calculate functional residual capacity?

A)$ V_{F R C}=\Delta V \div \Delta P \times\left(P_{B}-P_{H 2 O}\right) $
B)$ \mathrm{V}_{\mathrm{FRC}}=\Delta \mathrm{P} \div \Delta \mathrm{V} \times\left(\mathrm{P}_{\mathrm{B}}-\mathrm{P}_{\mathrm{H} 2 \mathrm{O}}\right) $
C)$ \mathrm{V}_{\mathrm{FRC}}=\Delta \mathrm{V} \div \Delta \mathrm{T} \times\left(\mathrm{P}_{\mathrm{B}}-\mathrm{P}_{\mathrm{H} 2 \mathrm{O}}\right) $
D)$\mathrm { V } _ { \mathrm { FRC } } = \left( \mathrm { P } _ { \mathrm { B } } - \mathrm { P } _ { \mathrm { H } 2 \mathrm { O } } \right) \times \Delta \mathrm { V }$

Question

Which of the following represents the relationship used by body plethysmography to calculate functional residual capacity?

A)$ V_{F R C}=\Delta V \div \Delta P \times\left(P_{B}-P_{H 2 O}\right) $
B)$ \mathrm{V}_{\mathrm{FRC}}=\Delta \mathrm{P} \div \Delta \mathrm{V} \times\left(\mathrm{P}_{\mathrm{B}}-\mathrm{P}_{\mathrm{H} 2 \mathrm{O}}\right) $
C)$ \mathrm{V}_{\mathrm{FRC}}=\Delta \mathrm{V} \div \Delta \mathrm{T} \times\left(\mathrm{P}_{\mathrm{B}}-\mathrm{P}_{\mathrm{H} 2 \mathrm{O}}\right) $
D)$\mathrm { V } _ { \mathrm { FRC } } = \left( \mathrm { P } _ { \mathrm { B } } - \mathrm { P } _ { \mathrm { H } 2 \mathrm { O } } \right) \times \Delta \mathrm { V }$

Quizplus · Accepted Answer

Body plethysmography uses Boyle's Law, which relates changes in volume and pressure to calculate functional residual capacity (FRC). The correct formula is $ V_{FRC} = \Delta V \div \Delta P \times (P_{B} - P_{H2O}) $, where $\Delta V$ is the change in volume, $\Delta P$ is the change in pressure, $P_{B}$ is barometric pressure, and $P_{H2O}$ is the water vapor pressure.

Which of the Following Represents the Relationship Used by Body VFRC=ΔV÷ΔP×(PB−PH2O) V_{F R C}=\Delta V \div \Delta P \times\left(P_{B}-P_{H 2 O}\right) VFRC​=ΔV÷ΔP×(PB​−PH2O​)

Which of the Following Represents the Relationship Used by Body $V_{F R C}=\Delta V \div \Delta P \times\left(P_{B}-P_{H 2 O}\right)$