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Q.

Two gases A and B having the same pressure, P, volume V and temperature T are mixed. If the mixture has volume and temperature as V and T respectively the pressure of the mixture is

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a

P/2

b

2P

c

P

d

4P

answer is A.

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Detailed Solution

detailed_solution_thumbnail
gas Agas B
Pressure P1P2
Volume V1V2
Temperature T1T2
No.of moles n2n2

But P1 = P2 = P, V1 = V2 = V, T1 = T2 = T 
After mixing the two gases 
volume V1 = V1 = V2 = V 
Temperature T1 = T1 = T2 = T 
Pressure P1 = ? 
no. of moles = n we have n=PVRT
But n = n1 + n2  P1V1RT1=PVRT+PVRT
P1 = 2P

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