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nRT\n3. The pressure of a real gases (non-ideal) follows the function: $p = \frac{nRT}{V - nb} - \frac{an^2}{V^2}$ where a, b and R are\nconstants; T is the temperature; V is the volume; n is the mole of the gas.\n$\left(\frac{\partial p}{\partial V}\right)_T$\n(a) (4pt) Determine the expression:\n$\left(\frac{\partial^2 p}{\partial V^2}\right)_T$\n(b) (3pt) Determine the expression:\n$\left[\frac{\partial}{\partial T}\left(\frac{\partial p}{\partial V}\right)_T\right]_V$\n(b) (3pt) Determine the expression:\n$\int_{V_i}^{V_f} p dV$ if T is kept as constant and is equal\n(c) (8 pt) Part 1 Determine the numerical value of W: $W = -$\nto 300 K; a = 5.000 atm-L$^2$/mol$^2$; b = 0.1000 L/mol; V$_i$ = 100. L; V$_f$ = 10.0 L; n = 2.00 mol.\n(2pt) Part 2: what is the unit of W in your calculation?

          nRT\n3. The pressure of a real gases (non-ideal) follows the function: $p = \frac{nRT}{V - nb} - \frac{an^2}{V^2}$ where a, b and R are\nconstants; T is the temperature; V is the volume; n is the mole of the gas.\n$\left(\frac{\partial p}{\partial V}\right)_T$\n(a) (4pt) Determine the expression:\n$\left(\frac{\partial^2 p}{\partial V^2}\right)_T$\n(b) (3pt) Determine the expression:\n$\left[\frac{\partial}{\partial T}\left(\frac{\partial p}{\partial V}\right)_T\right]_V$\n(b) (3pt) Determine the expression:\n$\int_{V_i}^{V_f} p dV$ if T is kept as constant and is equal\n(c) (8 pt) Part 1 Determine the numerical value of W: $W = -$\nto 300 K; a = 5.000 atm-L$^2$/mol$^2$; b = 0.1000 L/mol; V$_i$ = 100. L; V$_f$ = 10.0 L; n = 2.00 mol.\n(2pt) Part 2: what is the unit of W in your calculation?

nRT3. The pressure of a real gases (non-ideal) follows the function: p = (nRT)/(V - nb) - (an^2)/(V^2) where a, b and R are; T is the temperature; V is the volume; n is the mole of the gas.((∂ p)/(∂ V))T(a) (4pt) Determine the expression:((∂^2 p)/(∂ V^2))T(b) (3pt) Determine the expression:[(∂)/(∂ T)((∂ p)/(∂ V))T]V(b) (3pt) Determine the expression:∫Vi^Vf p dV if T is kept as constant and is equal(c) (8 pt) Part 1 Determine the numerical value of W: W = -300 K; a = 5.000 atm-L^2/mol^2; b = 0.1000 L/mol; Vi = 100. L; Vf = 10.0 L; n = 2.00 mol.(2pt) Part 2: what is the unit of W in your calculation?

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