Certified Hyperbaric Technologist Practice Test

If a gas cylinder has a pressure of 3000 PSI at 72°F, what will the pressure be at 170°F?

1. 3000 PSI

2. 3554 PSI

3. 4000 PSI

4. 4500 PSI

The correct answer is: 3554 PSI

To determine the pressure of a gas cylinder at a different temperature, we can use the ideal gas law concept, assuming the volume of the gas and the amount of gas remain constant. The relationship between pressure and temperature in gases is described by the formula: \[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \] Where: - \(P_1\) is the initial pressure, - \(T_1\) is the initial temperature in an absolute scale (Kelvin), - \(P_2\) is the final pressure, - \(T_2\) is the final temperature in an absolute scale (Kelvin). First, convert the temperatures from Fahrenheit to Kelvin. The formula to convert Fahrenheit to Kelvin is: \[ K = \frac{(°F - 32) \times 5}{9} + 273.15 \] Calculating the initial temperature: - For \(72°F\): \[ K_1 = \frac{(72 - 32) \times 5}{9} + 273.15 \approx 295.37 K \] Calculating the final temperature: - For \(170°F\): \