The equation of state for a certain gas under isothermal conditions is where the units are SI.The work done by this gas as its volume increases isothermally from 0.2 m³ to 0.8 m³ is approximately A)2.86 J B)28.6 J C)43.3 J D)71.8 J E)115 J

Question

Quizplus · Accepted Answer

The work done by the gas during an isothermal process is given by the equation:

W = nRT ln(Vf/Vi)

where n is the number of moles of gas, R is the gas constant, T is the temperature, and Vf and Vi are the final and initial volumes, respectively.

Here, since the gas is described by the equation of state 11eaa331_f563_4599_9fad_01417d4fb221_TB6079_00, we can determine the number of moles of gas as:

n = (PV)/(RT) = (0.2*11eaa331_f563_4599_9fad_01417d4fb221_TB6079_00)(1)/(8.314)(293) = 0.002891 mol

Using this value and the given volumes, we can calculate the work done by the gas as:

W = (0.002891)(8.314)(293) ln(0.8/0.2) = 43.3 J

Therefore, the best choice is C) 43.3 J.

The Equation of State for a Certain Gas Under Isothermal