JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
An insulated cylinder of volume \( 60\,cm^{3} \) is filled with a gas at \( 27^{\circ}C \) and 2 atmospheric pressure. Then the gas is compressed making the final volume as \( 20\,cm^{3} \) while allowing the temperature to rise to \( 77^{\circ}C \). The final pressure is __________atmospheric pressure.
- A 5
- B 6
- C 7
- D 8
Answer & Solution
Correct Answer
(C) 7
Step-by-step Solution
Detailed explanation
\(PV = nRT\) \(\frac{P_1 V_1}{R T_1}=\frac{P_2 V_2}{R T_2}\) \(\frac{2 \times 10^5 \times 60}{300}=\frac{ P _2 \times 20}{350}\) \(P _2=\frac{2 \times 10^5 \times 7 \times 3}{6}\) \(P_2=7 \times 10^5=7 atm\)
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