Question

question 1
hyperbaric therapy involves breathing high pressure oxygen. hyperbaric therapy is used to treat decompression sickness and other conditions. the pressure in a particular hyperbaric chamber is 2.29 atm.
what is the pressure in torr? torr
what is the pressure in kpa? kpa
what is this pressure in lb/in²? lb/in²

Explanation:

Part 1: Convert from atm to torr

We know that \(1\space atm = 760\space torr\).
To convert \(2.29\space atm\) to torr, we use the conversion factor:
\(P_{torr}=2.29\space atm\times760\space\frac{torr}{atm}\)

$$P_{torr}=2.29\times760 = 1740.4\space torr$$

Part 2: Convert from atm to kPa

We know that \(1\space atm = 101.325\space kPa\).
To convert \(2.29\space atm\) to kPa, we use the conversion factor:
\(P_{kPa}=2.29\space atm\times101.325\space\frac{kPa}{atm}\)

$$P_{kPa}=2.29\times101.325= 232.03425\approx232\space kPa$$

Part 3: Convert from atm to \(lb/in^{2}\)

We know that \(1\space atm = 14.696\space lb/in^{2}\).
To convert \(2.29\space atm\) to \(lb/in^{2}\), we use the conversion factor:
\(P_{lb/in^{2}}=2.29\space atm\times14.696\space\frac{lb/in^{2}}{atm}\)

$$P_{lb/in^{2}}=2.29\times14.696 = 33.65384\approx33.7\space lb/in^{2}$$

Answer:

1740.4 torr
232 kPa
33.7 \(lb/in^{2}\)