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-65884

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 constant volume (\(C_V\)) is defined as: \[ C_V = \left( \frac{\partial U}{\partial T} \right)_V \] The heat capacity at constant pressure (\(C_P\)) is defined as: \[ C_P = \left( \frac{\partial H}{\partial T} \right)_P \] Where \(H = U + PV\) is the enthalpy of the system. The difference between \(C_P\) and \(C_V\) is given by: \[ C_P -

_________ __________ ______ _____ _______ _________ _______ _____.
_______ ________ _____ _________ __________ __________ _________ _____ ____ ________ ________ ____.
______ ____ ___ ________ ____ ___ __________ ___.
____ _________ ______ ___ ________ ___ _________ __________ __________ ______ ______ _________.
________ ____ ____ ______ ___ _________.
__________ ________ ____ ______ ___ _______.
__________ _____ ________ ________ ______ ______ _______ _____ ________ ___ _______ ___.
_________ __________ ______ __________ __________ ___ ____ _____ __________ ___.
________ _________ ____ ______ _______ ________ _________ _________ ____ ____ _______ __________.
___ ________ ________ ____ ________ ______ ______ ______ __________ ___ _________ ______.
___ _____ ___ _______ ________ ______ _____ ____.
_______ _______ ______ ________ ___ ________ __________ ________ _________ __________.
____ ________ __________ ___ ____ ________ _______ ____ __________ ____.
________ _______ ___ ___ ___ ___ ___ ___ _____ ________ __________.
_____ ______ _______ _____ ___ _________ _____ ___ ____ ______ _______ ________.
__________ _______ __________ ________ _________ _________ _________.
__________ _______ ___ __________ _____ _______ _______ _________.
________ ___ _______ ________ ____ __________ ____ _______ ______.
_________ _________ ________ ________ __________ _______ __________ __________ __________ ___ ____ ________.
_______ _______ ____ ______ __________ ___ ____ ________.
____ ______ _____ __________ __________ ___ ___ __________ ____ ____ _______ ____.
_______ ____ ___ _______ _______ _______ ________ _______ ___ ______ ______ ____.
______ ____ _____ ____ _______ ___.
____ ____ _________ _______ ____ ____ _________ _____ _______ ________ ________.
________ __________ __________ ________ ____ ________ _________ ______ ________.
__________ __________ ____ __________ __________ ___ ________.
_____ ____ _______ _______ _____ _____ _________ ____.
__________ __________ ____ ____ ____ __________ ________ _____ _______ ____.
____ _______ _________ __________ __________ ________.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10