Scuba Tank

Chemistry Level pending

A scuba tank (steel walls) has a temperature of 300°K when the pressure inside the tank is 1 atm. What is the temperature when the pressure is 20 atm?

Answer is in °K.


The answer is 6000.

Lew Sterling Jr by Lew Sterling Jr , 24, USA

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2 solutions

Parveen Soni
Nov 15, 2014

As Temperature increase Gas try to expand and Molecular Energy increase resulting into more collision in between molecules of gas and in between wall of tank and gas molecules. Hence Pressure increase. So linear relationship between pressure and Temperature exits or P/T=constant. So we can write
p1/t1=p2/t2 where p1=1, t1=300, p2=20, t2=?
on solving we have t2=6000 K

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Lew Sterling Jr
Nov 14, 2014

Note: P-sub-1 = 1 atm

P-sub-2 = 20 atm

T-sub-1 = 300°K

T-sub-2 = ?

As P increases, so does T. (This is a direct proportion, because the walls are inflexible .)

So... (P-sub-1)/(P-sub-2) = (T-sub-1)/(T-sub-2)

(1 atm)/(20 atm) = (300°K)/(T-sub-2)

T-sub-2 = ((300°K)(20 atm))/ 1 atm = 6000°K

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