Answer:
2.6 ×10^-42
Explanation:
From
∆G= -RTlnK
∆G= -237.2 KJmol-1 or -237.2×10^3 Jmol-1
R= 8.314 Jmol-1K-1
T= 25°C + 273= 298K
-237.2×10^3= 8.314 × 298 × ln K
ln K= -237.2×10^3/2477.572
K = 2.6 ×10^-42
Answer : The work, heat during the process and the change of entropy of the gas are, 0 J, 3333.003 J and -10 J respectively.
Explanation :
(a) At constant volume condition the entropy change of the gas is:
![\Delta S=-n\times C_v\ln \frac{T_2}{T_1}](https://tex.z-dn.net/?f=%5CDelta%20S%3D-n%5Ctimes%20C_v%5Cln%20%5Cfrac%7BT_2%7D%7BT_1%7D)
We know that,
The relation between the
for an ideal gas are :
![C_p-C_v=R](https://tex.z-dn.net/?f=C_p-C_v%3DR)
As we are given :
![C_p=28.253J/K.mole](https://tex.z-dn.net/?f=C_p%3D28.253J%2FK.mole)
![28.253J/K.mole-C_v=8.314J/K.mole](https://tex.z-dn.net/?f=28.253J%2FK.mole-C_v%3D8.314J%2FK.mole)
![C_v=19.939J/K.mole](https://tex.z-dn.net/?f=C_v%3D19.939J%2FK.mole)
Now we have to calculate the entropy change of the gas.
![\Delta S=-n\times C_v\ln \frac{T_2}{T_1}](https://tex.z-dn.net/?f=%5CDelta%20S%3D-n%5Ctimes%20C_v%5Cln%20%5Cfrac%7BT_2%7D%7BT_1%7D)
![\Delta S=-2.388\times 19.939J/K.mole\ln \frac{369.5K}{299.5K}=-10J](https://tex.z-dn.net/?f=%5CDelta%20S%3D-2.388%5Ctimes%2019.939J%2FK.mole%5Cln%20%5Cfrac%7B369.5K%7D%7B299.5K%7D%3D-10J)
(b) As we know that, the work done for isochoric (constant volume) is equal to zero. ![(w=-pdV)](https://tex.z-dn.net/?f=%28w%3D-pdV%29)
(C) Heat during the process will be,
![q=n\times C_v\times (T_2-T_1)=2.388mole\times 19.939J/K.mole\times (369.5-299.5)K= 3333.003J](https://tex.z-dn.net/?f=q%3Dn%5Ctimes%20C_v%5Ctimes%20%28T_2-T_1%29%3D2.388mole%5Ctimes%2019.939J%2FK.mole%5Ctimes%20%28369.5-299.5%29K%3D%203333.003J)
Therefore, the work, heat during the process and the change of entropy of the gas are, 0 J, 3333.003 J and -10 J respectively.
Can’t have anything in Detroit
Melting ice cream is a physical change because it is a phase change, the water in the ice cream gains thermal energy and the inter-molecular forces are overcome and the molecules move further apart forming a liquid. It is not a chemical change because no chemical reactions occurred.