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Answer :
Final answer:
The new volume of the gas after doubling the pressure and quadrupling the temperature would be 16.00 ml, according to the combined gas law.
Explanation:
The subject question relates to the behavior of gases in terms of pressure, volume, and temperature, which is described by the combined gas law. According to the combined gas law, which combines Charles's law, Boyle's law, and Gay-Lussac's law, the formula is (P1 x V1) / T1 = (P2 x V2) / T2, where P indicates pressure, V indicates volume and T indicates temperature (expressed in Kelvin).
Starting with an initial volume of 8.00 ml, double the pressure, and quadruple the absolute temperature, we would insert these changes into the formula. Given that the volume is directly proportional to the temperature and inversely proportional to the pressure, the new volume can be found by algebraically solving for V2: V2 = (P1 x V1 x T2) / (P2 x T1). If T1 is the initial temperature and T2 is quadruple of T1, and P2 is double of P1, the formula simplifies to V2 = (V1 x 4) / 2 = 2V1. This calculation yields a new volume of 16.00 ml.
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