A Sample Of A Gas Has A Volume Of 78.5 Ml At 45 C.What Volume Will The Sample Occupy At 0 C When The Pressure Is Held Constant?

A sample of a gas has a volume of 78.5 ml at 45 C.What volume will the sample occupy at 0 C when the pressure is held constant?

 

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Problem:

A sample of a gas has a volume of 78.5 ml at 45 C.What volume will the sample occupy at 0 C when the pressure is held constant?

Given Data:

V₁ (initial volume) =  78.5 ml

T₁ (initial temperature) = 45 °C

                                      45 + 273.15 = 318.15 K

V₂ (final volume)  = ? unknown

T₂ (initial temperature)  =  0  °C

                                            0 + 273.15 = 273.15 K

Solution:

Charles Law states that volume and kelvin temperature are directly proportional when pressure and amount of gas are constant.

Formula: V₂ = V₁T₂ / T₁

V₂ = V₁T₂ / T₁

    = 78.5 ml × 273.15 K / 318.15 K

    = 21442.275 ml / 318.15

   = 67.3967 or 67.4 ml

Answer:

The volume is 67.4 ml