Question

An oxygen bottle was serviced to 1400 psig in denver where the temperature was 20° f. the aircraft was flown to phoenix and parked on a ramp where the temperature was 97° f. what will the pressure gauge read? this means what is the new pressure in units of psig.

Answer 1

The new pressure gauge reading of the oxygen bottle in Phoenix, after increasing temperature from 20°F to 97°F, is approximately 1626 psig. This calculation is based on Charles's Law, relating pressure and temperature changes while keeping volume and gas amount constant. Temperatures were converted to Kelvin for the calculation.

Step-by-step explanation:

To determine the new pressure gauge reading of an oxygen bottle when the temperature changes from 20°F in Denver to 97°F in Phoenix, we can use the combined gas law, specifically Charles's Law, which relates pressure and temperature directly when volume and the amount of gas are held constant. We'll first need to convert the temperatures from Fahrenheit to Kelvin:

• Initial temperature (T1) = (20°F - 32) × 5/9 + 273.15 = 266.48 K
• Final temperature (T2) = (97°F - 32) × 5/9 + 273.15 = 309.82 K

Assuming the volume and the mass of the gas in the bottle remain constant, the pressure at Denver (P1) is 1400 psig. Using Charles's Law (P1/T1 = P2/T2), we can solve for the final pressure (P2):

• P2 = P1 × (T2/T1) = 1400 psig × (309.82 K / 266.48 K)

Calculating this, we find that the new pressure in the oxygen bottle is approximately 1626.06 psig. Therefore, the pressure gauge in Phoenix would read around 1626 psig.