Concept explainers
Interpretation:
The final pressure of a 8.5 L scuba tank as it is cooled from an initial temperature of 26 oC and pressure of 150 atm to temperature of 15 oC needs to be calculated.
Concept introduction:
The relation between Temperature (T) and pressure (P) of a gas under constant volume is represented through Gay-Lussac's Law.
As per Gay-Lussac’s law, pressure is directly related to temperature:
Answer to Problem 14STP
(C) 140 atm
Explanation of Solution
Given:
Initial temperature, T1=26° C
Final temperature, T2 = 15°C
Initial pressure, P1 = 150 atm
Calculation:
Let P2 represent the final pressure of the tank:
Based on equation (1):
This is close to option (c).
The pressure of the tank at a final temperature of 15 oC is around 140 atm.
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