Concept explainers
Interpretation:
The final volume of a 7500 L helium gas balloon as it cools from an initial temperature of 24° C and pressure of 1 atm to a final temperature of -15° C and 0.001 atm pressure, needs to be calculated.
Concept introduction:
As per Charles law, volume is directly related to temperature:
As per Boyles law, pressure is inversely related to volume:
As per Gay-Lussac’s law, pressure is directly related to temperature:
Equations (1), (2) and (3) give the combined
Answer to Problem 16STP
(B) 6.5x106 L
Explanation of Solution
Given:
Initial temperature, T1=24° C
Final temperature, T2 = - 15°C
Initial pressure, P1 = 1 atm
Final pressure, P2 = 0.001 atm
Initial volume, V1 = 7500 L
Calculation:
Let V2 represent the final volume of the He gas balloon
Based on equation (4):
The final volume of the He gas balloon is 6.5x106 L.
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