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Question

A gas $$(\gamma  = 1.3)$$ is enclosed in an insulated vessel fitted with insulating piston at a pressure of $$10^{5} N/ m^{2}$$. On suddenly pressing the piston the volume is reduced to half the initial volume. Thee final pressure of the gas is


A
20.7×105
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B
21.3×105
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C
21.4×105
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D
None of these
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Solution

The correct option is B $$2^{1.3} \times 10^{5}$$
Given: $$\gamma=1.3, P_1=10^5 N/m^2, V_1=2V_2$$
As it is a adiabatic process, so using the relation
$$ \therefore PV^{\gamma }=k \left ( constant \right ) $$
$$P_1V_1^{\gamma}=P_2V_2^{\gamma}$$
$$P_2=2^{1.3}\times 10^5 N/m^2$$

Physics

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