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Applying the Temperature - Pressure Relationship (constant n and V)

Problem: A copper tank is filled with compressed gas to a pressure of 4.28 atm at a temperature of 0.185 oF. What will be the pressure if the temperature is raised to 95.6 oC? Plan: The volume of the tank is not changed, and we only have to deal with the temperature change, so convert to SI units, and calculate the pressure ratio from the T ratio. Solution:

T 1 = ( 0 . 1 8 5 o F - 3 2 . 0 o F ) x 5 / 9 = - 1 7 . 6 8 o C T 1 = - 1 7 . 6 8 o C + 2 7 3 . 1 5 K = 2 5 5 . 4 7 K T 2 = 9 5 . 6 o C + 2 7 3 . 1 5 K = 3 6 8 . 8 K

P

1

T

1

=

P T 2 2

= nR/V

T

2

T

1

P2 = P1 x

=?

P2 = 4.28 atm x

    • 368.8

      K

    • 255.47

      K

= 6.18 atm

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