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two containers of equal volume contain same gas at pressure P1 and P2 and absolute temperature T1 and T2 respectively. on joining the vessels, the gas reaches a commmon pressure P and common temperature T. the ratio of P/T is

digvijay yadav , 8 Years ago

Grade 12th pass

1 Answers

Eshan

Last Activity: 6 Years ago

Dear student,

Let the volume of each container be $V$ .

From ideal gas equation,

Number of moles of gas molecules in the containers is

$n_1=\dfrac{P_1V}{RT_1}$

$n_2=\dfrac{P_2V}{RT_2}$

Since the number of particles will remain the same,

Number of particles before joining=Number of particles after joining
$\implies \dfrac{P_1V}{RT_1}+\dfrac{P_2V}{RT_2}=\dfrac{P(2V)}{RT}$
$\implies \dfrac{P}{T}=\dfrac{1}{2}(\dfrac{P_1}{T_1}+\dfrac{P_2}{T_2})$

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