Chapter 4, Problem 4.19P

Interpretation Introduction

Interpretation:

The heat transferred during the process and the final pressure should be determined.

Concept Introduction:

First law of thermodynamics

  $dQ=dU-dW=C_V\times dT+P\times dT$

Where,

P = Pressure

C_v = Specific heat with constant volume

dU = Energy

dW = Work done

dQ = Heat of the system

  $P_2=P_1\times {\left(\frac{T_2}{T_1}\right)}^{\frac{\delta }{\delta -1}}$

P₁= Initial Pressure

P₂=Final Pressure

T₁= Initial Temperature = 400 K

T₂=Final Temperature = 950 K

  $\delta$ = Coefficient = 1.55

R = Universal Gas constant = 8.314 J/mol K