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Q.

Two spherical vessel of equal volume, are connected by a narrow tube. The apparatus contains an ideal gas at one atmosphere and 300 K. Now if one vessel is immersed in a bath of constant temperature 600K and the other in a bath of constant temperature 300 K. Then the common pressure will be

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a

1 atm

b

45 atm

c

43atm

d

34atm

answer is C.

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Detailed Solution

μ = μ1+μ2  P(2V)RT1=P′vRT1+P′VRT2⇒2PRT1=P′RT2+T1T1T2P′=2PT2T1+T2=2×1×600(300+600)=43atm
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Two spherical vessel of equal volume, are connected by a narrow tube. The apparatus contains an ideal gas at one atmosphere and 300 K. Now if one vessel is immersed in a bath of constant temperature 600K and the other in a bath of constant temperature 300 K. Then the common pressure will be