Think about the analogy "full of hot air." If a person were to inhale 2.2 L of gas at a temperature of 18 °C and that air heats to a temperature of 38 °C inside the lungs, what would be the new volume of the gas? Round to the nearest hundredth. Don't forget the units.
To solve this problem, we can use Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure and amount of gas.
Let's break down the given information:
Initial volume of gas (V1): 2.2 L
Initial temperature (T1): 18°C
Final temperature (T2): 38°C
Since we're looking for the new volume of the gas (V2), we can set up the formula:
(V1 / T1) = (V2 / T2)
Now, substitute the given values into the equation:
(2.2 L / 18°C) = (V2 / 38°C)
To solve for V2, multiply both sides of the equation by 38°C:
(2.2 L / 18°C) * 38°C = V2
Now, calculate:
V2 = (2.2 L / 18°C) * 38°C
V2 = 2.2 L * 38°C / 18°C
V2 = 47.6 L
Therefore, the new volume of the gas would be approximately 47.6 liters.