1. Tardigrade
  2. Question
  3. Chemistry
  4. 0.5 mole each of two ideal gases A(Cv, m=(5/2) R) and B(Cv, m=3 R) are taken in a container and expanded reversibly and adiabatically, during this process temperature of gaseous mixture decreased from 350 K to 250 K. Find Δ H( in cal / mol ) for the process:

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Q. $0.5\,$ mole each of two ideal gases $A\left(C_{v, m}=\frac{5}{2} R\right)$ and $B\left(C_{v, m}=3 R\right)$ are taken in a container and expanded reversibly and adiabatically, during this process temperature of gaseous mixture decreased from $350 \,K$ to $250\, K$. Find $\Delta H($ in $cal / mol$ ) for the process:

Thermodynamics

Solution:

$\text { } \Delta H=\left(n_1 C_{p, m_1}+n_2 C_{p, m_2}\right) \Delta T$
$=\left(0.5 \times \frac{7}{2} R +0.5 \times 4 R \right)(-100)$
$=-375 R$
( $\Delta H$ is defined at cons. $P$ )