Question

Q 3. a) Calculate the pressure exerted by \( 5 \mathrm{~kg} \) of Carbon dioxide gas placed in a [5] 2000-liter vessel at a temperature of \( 47^{\circ} \mathrm{C} \) using Soave modification of Redlick Kwong equation of state if \( \boldsymbol{\alpha}=\mathbf{0 . 5} \). \[ \begin{array}{c} p=\frac{R T}{V_{m}-b}-\frac{a \alpha}{V_{m}\left(V_{m}+b\right)} \\ a=\frac{0.42748 R^{2} T_{c}^{2}}{P_{c}} \quad b=\frac{0.08664 R T_{c}}{P_{c}} \end{array} \] b) Also, determine the pressure of the gas if it behaves ideally in nature. c) If volume occupied by \( \mathrm{CO}_{2} \) was reduced by \( 500 \mathrm{~L} \), then calculate the new pressure exerted by \( 1 \mathrm{~kg} \) of \( \mathrm{CO}_{2} \) if the temperature of the gas changed to \( 273^{\circ} \mathrm{K} \), assuming that \( \mathrm{CO}_{2} \) behaves ideally in nature.

          Q 3. a) Calculate the pressure exerted by \( 5 \mathrm{~kg} \) of Carbon dioxide gas placed in a
[5]
2000-liter vessel at a temperature of \( 47^{\circ} \mathrm{C} \) using Soave modification of Redlick Kwong equation of state if \( \boldsymbol{\alpha}=\mathbf{0 . 5} \).
\[
\begin{array}{c}
p=\frac{R T}{V_{m}-b}-\frac{a \alpha}{V_{m}\left(V_{m}+b\right)} \\
a=\frac{0.42748 R^{2} T_{c}^{2}}{P_{c}} \quad b=\frac{0.08664 R T_{c}}{P_{c}}
\end{array}
\]
b) Also, determine the pressure of the gas if it behaves ideally in nature.
c) If volume occupied by \( \mathrm{CO}_{2} \) was reduced by \( 500 \mathrm{~L} \), then calculate the new pressure exerted by \( 1 \mathrm{~kg} \) of \( \mathrm{CO}_{2} \) if the temperature of the gas changed to \( 273^{\circ} \mathrm{K} \), assuming that \( \mathrm{CO}_{2} \) behaves ideally in nature.

Q 3. a) Calculate the pressure exerted by 5 kg of Carbon dioxide gas placed in a
[5]
2000-liter vessel at a temperature of 47^∘C using Soave modification of Redlick Kwong equation of state if α=0 . 5.

p=(R T)/(Vm-b)-(a α)/(Vm(Vm+b))

a=(0.42748 R^2 Tc^2)/(Pc) b=(0.08664 R Tc)/(Pc)

b) Also, determine the pressure of the gas if it behaves ideally in nature.
c) If volume occupied by CO2 was reduced by 500 L, then calculate the new pressure exerted by 1 kg of CO2 if the temperature of the gas changed to 273^∘K, assuming that CO2 behaves ideally in nature.

Added by Mohammad A.

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