Question

A sample of oxygen gas is confined at 127°c and 0.80 atm. if volume of the container holding the gas stayed the same, what would be the pressure of this sample at 27°c?

Answer 1

Based on the calculations, the pressure of this gas sample at 27°C is equal to 0.17 atm.

How to determine the final pressure.

In order to calculate the final pressure of an ideal gas at constant volume, we would apply Gay Lussac's law.

Mathematically, Gay Lussac's law is given by this formula;

$P\;\alpha \;T\\\\P=kT$

Where:

• P is the pressure.

• T is the temperature.

• k is the constant of proportionality.

Substituting the given parameters into the formula, we have;

$\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{0.80}{127} =\frac{P_2}{27} \\\\0.0063 =\frac{P_2}{27}\\\\P_2 = 0.0063 \times 27$

Final pressure = 0.17 atm.

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