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1)

An ideal gas is placed in a tank at 270C. The pressure is initially 600 kPa. One-fourth of the gas is then released from the tank and thermal equilibrium is established. What will be the pressure if the temperature is 3270 C?


A) 900 kPa

B) 1000 kPa

C) 1050 kPa

D) 1250 kPa

Answer:

Option A

Explanation:

 As, we know that , the ideal gas equation is given as, 

          pV=nRT

It can written as,

 p1V1n1T1=p2V2n2T2  ........(i)    (  R= constant)

 Given, T1=273+270=300K and p1=600KPa

If one fourth of gas is released from tank,

then , n2=34n1 and   V2=V1    (  No change)

Given, T2=327+273=600K

So, from Eq.(i)  , we get

600V1n1300=p2V234n1600p2=900KPa

 So, the correct option is (a)