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Question: The pressure and temperature of two different gases is P and T having the volume V for each. They ar...

The pressure and temperature of two different gases is P and T having the volume V for each. They are mixed keeping the same volume and temperature, the pressure of the mixture will be

A

P / 2

B

P

C

2P

D

4P

Answer

2P

Explanation

Solution

μ1=PVRT,μ2=PVRT\mu_{1} = \frac{PV}{RT},\mu_{2} = \frac{PV}{RT}

P=(μ1+μ2)RTV=2PVRT×RTV=2PP^{'} = \frac{(\mu_{1} + \mu_{2})RT}{V} = \frac{2PV}{RT} \times \frac{RT}{V} = 2P