please answer it all and correct A gas is allowed to expand isothermally until i
ID: 3162097 • Letter: P
Question
please answer it all and correct
A gas is allowed to expand isothermally until it reaches its final volume and its pressure is 2.71 atm. It is then heated at constant volume until it reaches its final pressure. The initial state of 1.00 mol of a dilute gas is P_1 = 2.71 atm, V_1 = 1.00 L, and y = 428 J, and its final state is P_1 = 1 atm, V_2 = 2.71 L, and E_int 1 = 428 J, and its final state is P_2 = 1 atm, V_2 = 2.71 L, and E_int 2 = 912 J. (a) Illustrate this process on a PV diagram. Calculate the work done by the gas. (b) Find the heat absorbed by the gas during this process.Explanation / Answer
W = n R Ti ln(Vf/Vi)
W = Pi Vi ln [Vf / Vi]
= 2.71 * 1.01 * 105 * 1 * 10-3 * ln [2.71]
Work done by the gas = 273 Joules
b) delta E = Q + W
Q = delta E - W
= (912 - 428) + 273
Heat absorbed = 757 J
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