Chemistry

$1.$ A certain gaseous mixture is composed of the following: $20$ mol A$,40$ mol B$,$ and $30$ mol C$.$ The mixture was heated from $25\backslash$deg C to $90\backslash$deg C at constant pressure. Specific heat capacity at constant pressure of the components of the mixture is as follows:

Cp of A $=250$ J$/$mol$-$K

Cp of B $=200$ J$/$mol$-$K

Cp of C $=150$ J$/$mol$-$K

Determine the change in entropy in kJ$/$K$.$

Answer Format: $[2$ decimals$]$

$2.$ A certain $25-$L gas was initially at $35\backslash$deg C and $6\mathrm{.}3$ atm. The gas is then compressed to $18\mathrm{.}6$ atm at constant temperature. Determine the change in entropy in J$/$K$.$

Formula to convert Celsius to Kelvin is given by:

K $=\backslash$deg C $+273\mathrm{.}15$

Answer Format: $[2$ decimals$]$

$3.$ Calculate the change in entropy in $($J$/$K$)$ when $470$g of a certain substance $(32$ g$/$mol$)$ is heated from $60\backslash$deg C to $70\backslash$deg C at constant pressure. Specific heat capacity of methanol at constant pressure is $81$ J$/$mol$-$K$.$

$4.$ A diatomic gas in $15-$L rigid container at $25\backslash$deg C and $4\mathrm{.}8$ atm is heated to $40\backslash$deg C$.$ Determine the change in entropy of the process in J$/$R$.$

Formula to convert Celsius to Kelvin is given by:

K $=\backslash$deg C $+273\mathrm{.}15$

Answer Format: $[2$ decimals$]$

$5.$ Determine the change in entropy in $($J$/$K$)$ of $35$ moles of calcium carbonate when it is heated from $20\backslash$deg C to $700\backslash$deg C at constant pressure. Specific heat capacity is not constant throughout the process.

Answer Format: $[2$ decimals$]$