Identify the correct equation relating $\Delta H, \Delta U$ and $\Delta T$ for 1 mole of an ideal gas from…

Identify the correct equation relating $\Delta H, \Delta U$ and $\Delta T$ for 1 mole of an ideal gas from the following ( $\mathrm{R}=$ gas constant)
  1. $(\Delta H)^2=\Delta U+R \Delta T$
  2. $\Delta \mathrm{H}=(\Delta \mathrm{U})^2+\mathrm{R} \Delta \mathrm{T}$
  3. $\Delta \mathrm{U}=\Delta \mathrm{H}-\mathrm{R} \Delta \mathrm{T}$
  4. $\Delta \mathrm{U}=\Delta \mathrm{H}+\mathrm{R} \Delta \mathrm{T}$

Solution

Relation between $\Delta \mathrm{H}$ and $\Delta \mathrm{U}$ is $\Delta \mathrm{H}=\Delta \mathrm{U}+\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT}$ or, $\Delta \mathrm{U}=\Delta \mathrm{H}-\Delta \mathrm{n}_{\mathrm{g}} \mathrm{RT}$ for 1 mole, $\Delta \mathrm{U}=\Delta \mathrm{H}-\mathrm{RT}$

Asked in: AP EAMCET 2024 (21 May Shift 2)

Practice more Chemical Thermodynamics questions on Aicharya