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To determine the new volume of the gas after it heats to a temperature of 30°C in your lungs, you can use the ideal gas law equation, which states:

PV = nRT

Where: P = Pressure of the gas (assuming constant) V = Volume of the gas n = Number of moles of gas (assuming constant) R = Ideal gas constant (assuming constant) T = Temperature of the gas in Kelvin

To solve this problem, you'll need to convert the temperatures from Celsius to Kelvin.

Given: Initial volume (V1) = 3.2 liters Initial temperature (T1) = 16°C = 16 + 273.15 = 289.15 K Final temperature (T2) = 30°C = 30 + 273.15 = 303.15 K

Assuming the pressure and number of moles remain constant, we can set up the following proportion:

V1 / T1 = V2 / T2

Now, plug in the given values:

3.2 / 289.15 = V2 / 303.15

To find V2, cross-multiply and solve for V2:

V2 = (3.2 / 289.15) * 303.15 V2 ≈ 3.33 liters

Therefore, the new volume of the gas after heating to a temperature of 30°C in your lungs is approximately 3.33 liters.

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