An ideal gas having ( γ = 3 4 ) is taken from A to B according to given diagram, calculate Δ H for ideal gas in process A to B .

Question

An ideal gas having ( γ = 3 4 ​ ) is taken from A to B according to given diagram, calculate Δ H for ideal gas in process A to B .

TestHub · Accepted Answer

For an ideal gas, enthalpy is a state function, so $Δ H$ depends only on the initial and final states.

From the graph, state A and state B are identified, and the corresponding $P V$ values are obtained.

Given $γ = \frac{4}{3}$ , therefore $\frac{C _{P}}{R} = \frac{γ}{γ - 1} = 4$

For an ideal gas, $Δ H = \frac{C _{P}}{R} Δ (P V)$

Substituting the values of $P V$ at states A and B from the graph gives

$Δ (P V) = 3 a t m - L$

Hence,

$Δ H = 4 \times 3 = 12 a t m - L$

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Chemistry - Thermodynamics - II Question with Solution | TestHub