Answer:
Using the ideal gas law, the internal pressure of the CO₂ fire extinguisher, originally at 20.0 atm at 21°C, increases to approximately 23.35 atm when the temperature inside a car reaches 160°F (71.1°C).
Step-by-step explanation:
To calculate the internal pressure of the fire extinguisher after being left in the car, we can use the ideal gas law which states that P1/T1 = P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature.
The temperatures must be in Kelvin, so we first convert the temperatures from Celsius to Kelvin by adding 273.15 to each.
The initial conditions are P1 = 20.0 atm and T1 = 21°C + 273.15 = 294.15 K. The final temperature is T2 = 71.1°C + 273.15 = 344.25 K. Applying the ideal gas law, we find that P2 = P1 × (T2 / T1). Plugging in the known values gives P2 = 20.0 atm × (344.25 K / 294.15 K), which equals approximately 23.35 atm.
Therefore, the internal pressure in the fire extinguisher when the temperature is raised to 160°F (71.1°C) in the closed automobile will be about 23.35 atm.