A sample of the inhalation anesthetic gas Halothane, in a 500-mL cylinder has a pressure of 2.3 atm at 0°C. What will be the pressure of the gas if its temperature is warmed to 37°C (body temperature)? (Hint: Which law will you apply if the volume is constant?)
To solve this problem, we can use the ideal gas law.
Given:
Initial pressure (P1) = 2.3 atm
Initial temperature (T1) = 0°C = 273K (Convert Celsius to Kelvin)
Final temperature (T2) = 37°C = 273 + 37 = 310K (Convert Celsius to Kelvin)
Volume (V) is constant
Using the ideal gas law equation:
P1 / T1 = P2 / T2
Plugging in the given values:
2.3 atm / 273K = P2 / 310K
Solving for P2:
P2 = (2.3 atm * 310K) / 273K
P2 = 2.60 atm
Therefore, the pressure of the gas will be 2.60 atm when its temperature is warmed to 37°C.