IGNOU PHE 6 2018 - Write the first law of thermodynamics for a gaseous system. Show that

Question

Write the first law of thermodynamics for a gaseous system. Show that the
expression of difference of heat capacities of a gas at constant pressure and at
constant volume is given by

Image ignouacademy-com--p-that-31933

b) 2 kg of water is heated from 0°C to 100°C and converted into steam at the same temperature. Calculate the increase in entropy, given that specific heat of water is

4.18 × 10³ J kg⁻¹ K⁻¹ and Latent heat of vaporisation is 2.27 × 10⁷ J kg−1.

27 Jan 2018

Answer :

Word Count : 449

### Part a: First Law of Thermodynamics and Heat Capacities The first law of thermodynamics for a gaseous system is given by: \[ dU = \delta Q - \delta W \] Where: - \(dU\) is the change in internal energy of the system. - \(\delta Q\) is the heat added to the system. - \(\delta W\) is the work done by the system. For a gas, the work done is \( \delta W = P \, dV \), where \(P\) is the pressure and \(dV\) is the change in volume. Thus, the first law becomes: \[ dU = \delta Q - P \, dV \] #### Heat Capacities at Constant Pressure and Volume The heat capacity at

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