If the gases have initial temperature 300K and they are mixed in an adiabatic container having the same volume as the previous containers. Now the temperature of the mixture is T and pressure is P. Then

P > P_{A}, T > 300 K

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P > P_{B}, T = 300 K

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P > P_{A}, T = 300 K

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P > P_{A}, T < 300 K

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Solution

The correct option is A $P > P_{B}, T = 300 K$
Given : Initial temperature $300 K$
Using Avogadro's Law :
No. of moles remain same. So,
$\Rightarrow n_{A} C_{V_{A}} \times 300 + n_{B} C_{V_{B}} \times 300 = n_{A} C_{V_{A}} T + n_{B} C_{V_{B}} T$
$\Rightarrow T = 300 K$
Since, volume remain same but no. of moles increase. Therefore pressure increases.
Hence, the answer is $P > P_{B}, T = 300 K .$

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