Fitting coefficients for $C_p = a + bT + \frac{c}{T^2}$ in $\frac{J}{mol K}$
 $a$ $bx10^3$ $cx10^{-5}$ $Ag(s)$ 21.3 8.54 1.51 $BaO(s)$ 53.3 4.35 -8.3 $Fe(\alpha)$ 37.12 6.17 0 $O_2(g)$ 29.96 4.18 -1.67

$1$. Determine the change in entropy when the temperature of $21$ moles of substance $Ag(s)$ is changed from $566 K$ to $553 K$. Your final answer must include units.

 $\Delta S = S(553)-S(566)=$ $\displaystyle\int$ $dT$
 $\hskip 100pt=$ $\Bigg\vert$
 $\hskip 100pt=$

Units

$2$. Determine the change in entropy when the temperature of $78$ moles of substance $BaO(s)$ is changed from $1247 K$ to $1406 K$. Your final answer must include units.

 $\Delta S = S(1406)-S(1247)=$ $\displaystyle\int$ $dT$
 $\hskip 100pt=$ $\Bigg\vert$
 $\hskip 100pt=$

Units

$3$. Determine the change in entropy when the temperature of $22$ moles of substance $Fe(\alpha)$ is changed from $616 K$ to $727 K$. Your final answer must include units.

 $\Delta S = S(727)-S(616)=$ $\displaystyle\int$ $dT$
 $\hskip 100pt=$ $\Bigg\vert$
 $\hskip 100pt=$

Units

$4$. Determine the change in entropy when the temperature of $58$ moles of substance $O_2(g)$ is changed from $842 K$ to $2287 K$. Your final answer must include units.

 $\Delta S = S(2287)-S(842)=$ $\displaystyle\int$ $dT$
 $\hskip 100pt=$ $\Bigg\vert$
 $\hskip 100pt=$

Units

You can earn partial credit on this problem.