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GATE XE 2023 | Question-87

\begin{tabular}{|c|c|}
\hline Q. 97 & \begin{tabular}{l}
A rigid closed tank having a volume of $2 \mathrm{~m}^{3}$ contains $0.1 \mathrm{~m}^{3}$ of saturated liquid \\
water and $1.9 \mathrm{~m}^{3}$ of saturated water vapor at $100 \mathrm{kPa}$. Heat is transferred to the \\
tank until the final tank pressure reaches $2 \mathrm{MPa}$. \\
Following data for water is given: \\
$\qquad$\begin{tabular}{rll}
At $100 \mathrm{kPa}:$ & $v_{f}=0.001043 \mathrm{~m}^{3} / \mathrm{kg}$, & $v_{g}=1.694 \mathrm{~m}^{3} / \mathrm{kg}$, \\
$u_{f}=417.33 \mathrm{~kJ}^{2} / \mathrm{kg}$, & $u_{g}=2506.06 \mathrm{~kJ} / \mathrm{kg}$ \\
At $2 \mathrm{MPa}: \quad v_{f}=0.001177 \mathrm{~m}^{3} / \mathrm{kg}$, & $v_{g}=0.09963 \mathrm{~m}^{3} / \mathrm{kg}$, \\
$u_{f}=906.42 \mathrm{~kJ} / \mathrm{kg}$, & $u_{g}=2600.26 \mathrm{~kJ} / \mathrm{kg}$
\end{tabular}
\end{tabular} \\
\hline & The magnitude of heat transfer in this process is \\
\hline

  1. & $34670 \mathrm{~kJ}$ \\
    \hline
  2. & $55842 \mathrm{~kJ}$ \\
    \hline
  3. & $67906 \mathrm{~kJ}$ \\
    \hline
  4. & $77470 \mathrm{~kJ}$ \\
    \hline
    \end{tabular}

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