Question
How the equation $\Delta U = q + w$ can be represented for isothermal reversible and irreversible process?

Answer

Equation $(\Delta U = q + w )$ can be represented for isothermal reversible and irreversible process as follows :
(i) For isothermal irreversible process :
$
q=-w=p_{ex}\left(V_{f}-V_{i}\right)
$
(ii) For isothermal reversible process :
$
q=-w=n R T \ln \frac{V_f}{V_i}=2.303 n R T \log \frac{V_f}{V_i}
$
(iii) For adiabatic process: $q =0$
$
\Delta U=w_{ad}
$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Which has more entropy? 1 mole $\mathrm{H}_2 \mathrm{O}(\mathrm{I})$ at $25^{\circ} \mathrm{C}$ or 1 mole $\mathrm{H}_2 \mathrm{O}(\mathrm{I})$ at $35^{\circ} \mathrm{C}$?
A 5 litre cylinder contained 10 moles of oxygen gas at $27^{\circ} \mathrm{C}$. Due to sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmospheric pressure was 1.0 atm, calculate the work done by the gas.
$\left[\mathrm{R}=0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} ; 1 \mathrm{~L} \mathrm{~atm}=101.3 \mathrm{~J}\right]$
What happens when:
  1. Bromoethane is treated with zinc and hydrochloric acid?
  2. Hydrogen is passed into 2-bromopropane in the presence of palladium?
$\mathrm{K}_{\mathrm{b}}$ for $\mathrm{NH}_4 \mathrm{OH}$ is $1.8 \times 10^{-5}$ and for $\mathrm{CH}_3 \mathrm{NH}_2$ is $4.4 \times 10^{-4}$. Which of them is strongest base and why?
Derive the relationship between isothermal and free expansion of an ideal gas.
Explain the Lewis concept of acid and base? How it is different from Bronsted-Lowry concept? Explain.
Draw formulas for the first five members of homologous series beginning with the following compounds.
$\mathrm{CH}_3 \mathrm{COCH}_3$.

Expand each of the following bond line formula to show all the atoms including carbon and hydrogen.
  1.  
  1.  
  1.  
Why geometry of $BF _3$ is triangular while that of $NH _3$ is pyramidal? Give reason.
What do you understand by isoelectronic species? Name a species that will be isoelectronic with each of the following atoms or ions.
$\mathrm{Rb}^{+}$