iran-konkur 2020 Q199

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Not Maths
199. The $P-T$ diagram of one mole of an ideal (complete) monatomic gas is shown in the figure below. The process is carried out on the gas. How many joules are the heat exchanged in process $AB$ and the heat exchanged in process $BC$, respectively? $\left(C_p = \dfrac{5}{2}R,\ R = 8\ \dfrac{\text{J}}{\text{mol·K}}\right)$
[Figure: P(Pa) vs T(K) graph. Point A is at approximately $(1.5\times10^5\ \text{Pa},\ 450\ \text{K})$, point B is at $(3\times10^5\ \text{Pa},\ 450\ \text{K})$, and point C is at $(3\times10^5\ \text{Pa},\ 750\ \text{K})$. Process AB is a diagonal line (oblique), and process BC is a vertical line (isobaric).]
  • [(1)] zero, 3600
  • [(2)] zero, 6000
  • [(3)] 3600, 2700
  • [(4)] 6000, 2700
\textbf{199.} The $P-T$ diagram of one mole of an ideal (complete) monatomic gas is shown in the figure below. The process is carried out on the gas. How many joules are the heat exchanged in process $AB$ and the heat exchanged in process $BC$, respectively?
$\left(C_p = \dfrac{5}{2}R,\ R = 8\ \dfrac{\text{J}}{\text{mol·K}}\right)$

\textit{[Figure: P(Pa) vs T(K) graph. Point A is at approximately $(1.5\times10^5\ \text{Pa},\ 450\ \text{K})$, point B is at $(3\times10^5\ \text{Pa},\ 450\ \text{K})$, and point C is at $(3\times10^5\ \text{Pa},\ 750\ \text{K})$. Process AB is a diagonal line (oblique), and process BC is a vertical line (isobaric).]}

\begin{itemize}
    \item[(1)] zero, 3600
    \item[(2)] zero, 6000
    \item[(3)] 3600, 2700
    \item[(4)] 6000, 2700
\end{itemize}