to what fraction of its original volume , V final/V initial must a 0.50-mole sam

Question

to what fraction of its original volume , V final/V initial must a 0.50-mole sample of ideal gas be compressed at a constant tempature for cahnge in s sys to be -3.5 J/K

. please answer thouroghly with showing all work so i can follow with final answer present. thanks

Quest Enter your answer in the previded box. Te what fractiou of its orlginal vulume, tnal iniial, must u 0.50 unole sample nf Ideal To what Traction of its original volume, P gas be compressed al costant temperature fr .C sys to be-3.5 IK?

Explanation / Answer

       Entropy change = -nR ln (P2/P1)= - 3.5 J/K

n= number of moles

When temperature remains constant P2= final pressure and P1= initial pressure and P2/P1= V1/V2

= - n Rln (V1/V2)=-3.5

0.5*8.314 ln (V1/V2)= 3.5

4.16 ln (V1/V2)= 3.5

ln(V1/V2)= 3.5/4.16=0.8413

V1/V2= 2.32

V2/V1= 1/2.32= 0.43

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