iran-konkur 2023 Q75

iran-konkur · Other · konkur-riazi_1402_tir_specialized Not Maths
75 -- In the figure below, a piston of mass $1.75\,\text{kg}$ and base area $50\,\text{cm}^2$ is placed on an ideal gas in equilibrium. If a mass 9 times the piston's mass is placed on it, the piston moves down to a height of $10\,\text{cm}$ and reaches equilibrium again.
[Figure: A vertical cylinder with a piston, height labeled $40\,\text{cm}$]
If the temperature of the gas remains constant, what is the air pressure in pascals? ($g = 10\,\dfrac{\text{m}}{\text{s}^2}$)
  • [(1)] $1.1 \times 10^5$
  • [(2)] $1.2 \times 10^5$
  • [(3)] $9.1 \times 10^4$
  • [(4)] $9.6 \times 10^4$

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\textbf{75 --} In the figure below, a piston of mass $1.75\,\text{kg}$ and base area $50\,\text{cm}^2$ is placed on an ideal gas in equilibrium. If a mass 9 times the piston's mass is placed on it, the piston moves down to a height of $10\,\text{cm}$ and reaches equilibrium again.

\textit{[Figure: A vertical cylinder with a piston, height labeled $40\,\text{cm}$]}

If the temperature of the gas remains constant, what is the air pressure in pascals? ($g = 10\,\dfrac{\text{m}}{\text{s}^2}$)

\begin{itemize}
    \item[(1)] $1.1 \times 10^5$
    \item[(2)] $1.2 \times 10^5$
    \item[(3)] $9.1 \times 10^4$
    \item[(4)] $9.6 \times 10^4$
\end{itemize}



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