Question

A sample of inhalation anesthetic gas halothane in a 500-ml cylinder has a pressure of 2.3 atm at 0 degrees celsius. What will be the pressure of the gas if its temperature is warmed to 37 degrees celsius (body temperature)?

Answer 1

To calculate the final pressure of the gas, we can use Charles's Law, which states that for a gas at constant pressure, the volume is directly proportional to its absolute temperature.

Step-by-step explanation:

To solve this problem, we can use Charles's Law, which states that for a gas at constant pressure, the volume is directly proportional to its absolute temperature. First, we need to convert the temperatures from Celsius to Kelvin by adding 273.15 to each value. So, the initial temperature is (0 + 273.15) K = 273.15 K, and the final temperature is (37 + 273.15) K = 310.15 K. Now, we can set up a proportion using the initial and final temperatures:

V1 / T1 = V2 / T2

Plugging in the values, we have:

V1 / 273.15 = V2 / 310.15

We can solve for V2 by cross-multiplying and rearranging the equation:

V2 = (V1 / 273.15) * 310.15

Finally, we can substitute the initial volume V1 = 500 mL = 0.5 L and solve for V2:

V2 = (0.5 / 273.15) * 310.15 = 0.568 L