Question

DERIVE A RELATIONSHIP BETWEEN DELTA H AND DELTA U...?

Answer 1

hope this helps you ^_^

Answer 2

Explanation:

It is known that equation for ideal gas is PV = nRT

Now, for gas A the equation will be $PV_{A} = n_{A}RT$ ........ (1)

For gas B, equation will be $PV_{B} = n_{B}RT$ ........ (2)

Hence, subtracting equation (1) from equation (2) as follows.

            $PV_{B} - PV_{A}$ = $n_{B}RT - n_{A}RT$

                  $P (V_{B} - V_{A})$ = $(n_{B} - n_{A})RT$

                   $P \Delta V = \Delta n_{g}RT$

Also, it is known that relation between $\Delta H$ and $\Delta U$ is as follows.

                     $\Delta H = \Delta U + p\Delta V$

or,                  $\Delta H = \Delta U + \Delta n_{g}RT$

Therefore, we can conclude that a relationship between $\Delta H$ and $\Delta U$ is $\Delta H = \Delta U + \Delta n_{g}RT$.