Question

A gas occupies 200ml at a temperature of 27degrees Celsius and 760mm of pressure.Find the volume of gas at -30degrees Celsius and 760mm of Hg

Answer 1

$\large\underline\bold{Given:\longrightarrow}$

Initial Volume, V1 = 200 mL
Initial Pressure, P1 = 760 mm Hg
Initial Temperature, T1 = 27 ℃ = ( 27 + 273 ) K = 300 K

Final Volume, V2 = ?
Final Pressure, P2 = 760 mm Hg
Final Temperature, T2 = - 30 ℃ = ( - 30 + 273 ) K = 243 K

$\large\underline\bold{Solution:\longrightarrow}$

The initial and final pressure is same and hence we may say that the pressure is constant on gas at both instances.

So we can apply Charles Law here which states that the volume of a dry gas is directly proportional to temperature at which is it present.

Mathematical expression:

V1 / T1 = V2 / T2 = Constant

Substituting the values,

200 / 300 = V2 / 243
V2 = 2 / 3 * 243
V2 = 2 * 81
V2 = 162 mL

Hence,

The required volume = V2 = 162 mL

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Answer 2

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