By using the combined gas law, the volume of the gas is found to be 212.81mL when the pressure and temperature is changed.
The Combined Gas Law combines the provisions of Charles Law, Boyle's Law, and Gay Lussac's Law. According to the Combined Gas Law, a gas pressure x temperature x volume = constant. The combined gas law is essentially a reworking of the ideal gas law, with both n (moles of gas) and R (already constant) remaining constant. It may be used to compute the conditions of the resultant system based on changes in pressure, temperature, or volume.
Given:
P1 = 420 mm Hg
V1 = 500mL
T1 = 20℃ = 20 + 273 = 293K
P2 = 650 mm Hg
T2 = -80℃ = -80 + 273 = 193K
To find:
V2 = ?
Formula:
P1V1 / T1 = P2V2 / T2
Calculations:
V2 = P1V1T2 / T1P2
V2 = 420 x 500 x 193 / 293 x 650
V2 = 212.81mL
Result:
The volume of the gas is found to be 212.81mL
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