Consider 8.0 moles of a monatomic ideal gas sample at 32°C and an initial pressure of 12.0 atm. The external pressure is lowered to 1.5 atm in a reversible manner. Calculate the final volume of the gas sample.

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Quizplus · Accepted Answer

The ideal gas law can be used to solve this problem:PV = nRTwhere P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.We can rearrange this equation to solve for V:V = nRT/PWe are given that n = 8.0 moles, R = 0.0821 L*atm/(mol*K), T = 32°C = 305 K, and P = 1.5 atm.Plugging these values into the equation, we get:V = (8.0 moles)(0.0821 L*atm/(mol*K))(305 K)/(1.5 atm) = 58 LTherefore, the final volume of the gas sample is 58 L.