Based on the calculations, the final pressure of this gas sample at 370°C is equal to 2.66 atm..
Given the following data:
Initial temperature = 180°C.
Final temperature = 370°C.
Initial pressure = 900 torr.
Conversion:
760 torr = 1 atm.
900 torr = 1.29 atm.
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;
[tex]P\;\alpha \;T\\\\P=kT[/tex]
Where:
Substituting the given parameters into the formula, we have;
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{1.29}{180} =\frac{P_2}{370} \\\\0.0072 =\frac{P_2}{370}\\\\P_2 = 0.0072 \times 370[/tex]
Final pressure = 2.66 atm.
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