Answer to Question #187789 in Molecular Physics | Thermodynamics for nowela padal

Question

A 2.0 mol. sample of an ideal gas is kept at 1.0◦c during an expansion from 2.0 L to 9.0 how much energy transfer by heat occurs with the surroundings in this process?

Answer 1

Answer :-

give

mole = 2

V_A= 2 L

V_B = 9 L

T = 1^oC

R = 8.3 J/K

first law of thermodynamics is 

$Δ U=Q−W$

 if the temperature is held constant, the internal energy of the system also is constant, and so 

ΔU=0

. From the first law of thermodynamics, it follows that 

$\boxed{Q=−W}$

 for this same isothermal process.

also work

$\boxed{W_{A→B}=nRTln\frac{⁡V_B}{V_A }}$

$Q = - nRTln\frac{⁡V_B}{V_A }$

=$(2)\times(8.3)\times(273)ln\frac{⁡9}{2 }$

= 6797.7 joule