A gas is compressed by an adiabatic process that decreases its volume by a factor of 2.
In this process, the pressure
In this process, the pressure
a) | increases by a factor of more than 2. |
b) | increases by a factor of 2. |
c) | does not change. |
d) | increases by a factor of less than 2. |
The condition when the gas compressed adiabatically is, \(P V^{\gamma}=\) constant
\(P_{1} V_{1}^{\gamma}=P_{2} V_{2}^{\gamma}\)
\(P_{2}=\frac{P_{1} V_{1}^{\gamma}}{V_{2}^{\gamma}}\)
The pressure is, \(P_{2}=\frac{P_{1} V_{1}^{\gamma}}{\left(\frac{V_{1}}{2}\right)^{\gamma}}=2^{\gamma} P_{1}\)
Therefore, the pressure increases by a factor more than \(2 .\) Therefore, the correct option is (a).
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