A fixed mass of gas

( p1V1)/T1 = (p2V2)/T2            (fixed number of moles)

Example

The pressure in a tank of 20 ℓ is 3.0 bar at a temperature of 17 oC.

The temperature is raised. The volume increases to 21 ℓ and the pressure to 3.5 bar.

Calculate the new temperature.

( p1V1)/T1 = (p2V2)/T2                                     T in Kelvin !

(3.0 x 20)/290 = (3.5 x 21)/ T2

60/290 = 73.5/T2

60 T2 = 73.5 x 290

60 T2 = 21315

T2 = 355 K = 82 oC

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