The weather in Nome is -15.1 degrees C.If Jane is on her morning jog alone the streets of Nome and fully exhales 4.98 L of air from her lungs, what will the new volume of this air be? The air while in Jane's lungs is at her body temperature, 38 degrees C.

1 Answer
Al E.
May 13, 2018

Recall the relationship between volume and temperature of an ideal gas,

#PV = nRT#

#=> V_1/T_1 = (nR)/P = V_2/T_2#

#=> V_1/T_1 = V_2/T_2#

Given,

#V_1 = 4.98"L"#

#T_1 = -15.1°"C" = 258.05"K"#

#T_2 = 38°"C" = 311.15"K"#

Hence, Jane would have respired,

#=> V_2 = (V_1T_2)/T_1 approx 6.00"L"#

of air into her lungs.

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