Question

For each system listed in the first column of the table below, decide (if possible) whether the change described in the second column will increase the entropy S of the system, decrease S, or leave Sunchanged. If you don't have enough information to decide, check the "not enough information" button in the last column. System Change AS ASCO O AS=0 A few moles of nitrogen () gas. The nitrogen is heated from 15.0 °C to 40.0 C and also expands from a volume of 5.0 L to a volume of 9.0 L AS > 0 not enough Information ASCO A few moles of carbon dioxide (CO) gas. AS = 0 The carbon dioxide is compressed from a volume of 13.0 L to a volume of 8.0 L while the temperature is held constant at -18.0°C AS > not enough information ASCO few grams of liquid water Ho). AS = 0 The water is heated from 8.0°C to 680 °C. AS > 0 not enough information X 5 ?

Answer 1

Answers)

i)

ΔS= nCv ln(T2/T1) + nR ln(V2/V1)

ΔS= n Cv ln (40+273.15/-15+273.15) + nR ln ( 9/5)

ΔS= n Cv *0.19 + nR *0.58

As both the quantities are positive, ΔS >0

ii)

ΔS= nCv ln(T2/T1) + nR ln(V2/V1)

ΔS= n Cv ln (-18+273.15/-18+273.15) + nR ln ( 8/13)

ΔS= 0 + nR *(-0.48)

ΔS= - 0.48 nR

ΔS<0

iii)

For the given problem, no information is provided for the final Volume of water.

So, no enough information.