If the volumetric expansion coefficient of an ideal is (1/T) and its compression coefficient is (1/p). Prove that the equation of state for an ideal gas is PV=nRT if (V=V(T,P .) gas
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Q: One mol of an ideal gas is heated at a constant external pressure of 200 kPa. Calculate the enthalpy…
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A: We would use differentiation rules to solve this question.
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A: It depends on whether we are consider For real gas or ideal gas [XP/OP]T = d/dP [(dH/dT)P]T
Q: A sample of 70. mmol of Kr (g) expands reversibly and isothermally at 373 K from 5.25 cm3 to 6.29…
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Q: Consider an equation of state for a gas given by: ?=1+(?/?? + ?/?2?) where B and C are constants…
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Q: A sample consisting of 0.5 mol of perfect gas molecules with CP,m = 20.8 J · K. mol is initially at…
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Q: The molar constant pressure heat capacity of an ideal diatomic gas is R. Calculate Cy for 6.10 mol…
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Q: alculate the number density (amg) for an ideal gas at 20 kPa and 300.15 K
A: Given : Pressure = 20 kPa Temperature = 300.15 K.
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Q: Investigate the dependence of pV on V for real gases.
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Q: (b) For any thermodynamic equation of state: (ƏH (F), = V -T P an² Derive an expression for () for…
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Q: 2.3 A sample consisting of 2.0 mol CO, occupies a fixed volume of 15.0 dm³ at 300 K. When it is…
A: A sample consisting of 2.0 mol CO₂ occupies a fixed volume of 15.0 dm³ at 300 K. When it is supplied…
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Q: Carbon dioxide gas with a mass of 88 g is isothermally compressed at a fixed external pressure of 15…
A: Using The 1st law of Thermodynamics and Ideal Gas equation We can solve this question.
Q: a) Show that), (KrP – BT)V KT = Isothermal compressibility B = volume expansivity
A: dU = TdS - PdVDifferentiaite both sides with respect to P at constant TSo, ∂U∂PT = T∂S∂PT - P∂V∂PT…
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Q: 2. A7.0 x 102 mol sample of Kr (g) expands reversibly and isothermally at 373 K from 5.25 mL to 6.29…
A: Bkr=-28.7mL/molBy virial equationP=RTVm(1+BKrVm)Expression for work doneW=-∫ViVfp.dVPutting the…
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Q: Carbon Dioxide has a critical temperature of 304.13 K, criticai pressure of 7377.3 kPa and critical…
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Q: 1 (av (2) Calculate thermal expansion coefficient a = and isothermal compressibility K = aT 1 -÷)…
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Q: Show that for a gas satisfying the Van der Waals equation a (P+) (v* – 6) = RT, where v * represents…
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- An automobile wheel contains air with a pressure of 3x105 Pa at 25 ° C. The sipop cover was removed and the air was expanded adiabatically against an external pressure of 105 Pa. What is the final temperature of the gas in the wheel? (Take into account that the gas behaves ideally and the Cp value for air is 7 / 2R)Consider an equation of state for a gas given by: ?=1+(?/?? + ?/?2?) where B and C are constants and Z is the compressibility (compression) factor. Derive an expression for the work done in a reversible isothermal expansion from V1 to V2 at temperature T for one mole of the gas.An automobile wheel contains air with a pressure of 3x10^5 Pa at 25 ° C. The sipop cover was removed and the air was expanded adiabatically against an external pressure of 105 Pa. What is the final temperature of the gas in the wheel? (It should be taken into account that the gas behaves ideally and the Cp value for air is 7 / 2R)
- (a) Write expressions for dV and dp given that V is a function of p and T and p is a function of V and T. (b) Deduce expressions for d ln V and d ln p in terms of the expansion coefficient and the isothermal compressibility.Estimate the internal pressure of sulfur dioxide at 1.00 bar and 298 K, treating it as a van der Waals gas, when πT = a/Vm2. You may simplify the problem by assuming that the molar volume can be predicted from the perfect gas equation.A particular substance obeys the following equation of state: P2 (V bar) = - DT where D is a constant. Derive an expression for the cubic expansion coefficient, alpha, in terms that do not involve the molar volume for this substance. Please show work.
- Calculate ∆U and ∆H in heating 55.4 g of Xe from 300 K to 450 K. Assume the heat capacities atconstant volume and constant pressure to be independent of temperature and ideal gas behaviorInvestigate the dependence of pV on V for real gases.1. Calculate ∆U, ∆H, q, and w for compressing 2 mol of an ideal gas from 1 bar to 10 bars at 25°C given that the external pressure is 500.0 bar.
- For H2(g), Cp,m is nearly constant at 20.4 J/mol K for temperatures in the range of 100 K to 400 K and low or moderate temperatures. Calculate q, w, and ∆U for the reversible adiabatic expansion of 12.0 g of H2 (g) from 1200 torr and 600 cm3 to a final volume of 800 cm3. After you solve the problem, state whether T of the H2 would increase or decrease during the process, and state your reasoning.Calculate the number density (amg) for an ideal gas at 20 kPa and 300.15 K.Starting with the expression for thermal expansivity show that for an ideal gas: ? = ?/T and Give two interpretations of this final expression ? = 1/T please give clear handwritten answer ASAP!