Question:
A cylindrical vessel contains 16 kg of gas at a pressure of 1 atmosphere. A certain amount of gas is taken out and the pressure of gas in the vessel becomes 0.75 atmosphere. The amount of gas taken out is
A cylindrical vessel contains 16 kg of gas at a pressure of 1 atmosphere. A certain amount of gas is taken out and the pressure of gas in the vessel becomes 0.75 atmosphere. The amount of gas taken out is
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At constant \(T,V\), pressure directly proportional to amount of gas.
Updated On: Apr 21, 2026
- \(2.5\,\text{kg} \)
- \(4\,\text{kg} \)
- \(7.5\,\text{kg} \)
- \(8.25\,\text{kg} \)
- \(10\,\text{kg} \)
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The Correct Option is B
Solution and Explanation
Concept:
At constant temperature and volume:
\[
P \propto n \propto m
\]
Step 1: Use ratio.
\[ \frac{P_2}{P_1} = \frac{m_2}{m_1} \Rightarrow \frac{0.75}{1} = \frac{m_2}{16} \] \[ m_2 = 12\,\text{kg} \]
Step 2: Find removed mass.
\[ 16 - 12 = 4\,\text{kg} \]
Step 1: Use ratio.
\[ \frac{P_2}{P_1} = \frac{m_2}{m_1} \Rightarrow \frac{0.75}{1} = \frac{m_2}{16} \] \[ m_2 = 12\,\text{kg} \]
Step 2: Find removed mass.
\[ 16 - 12 = 4\,\text{kg} \]
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