a gas expand against a variable pressure given by p=20/v during expansion from volume of 1litre to 10litre the gas undergoes a change in internal energy of 400 joule how much heat is absorbed by the gas during expansion
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Here, the change in internal energy (dU)=400 J and the gas expands from volume 1 L to 10 L.The variable pressure of the gas is given by P=20(L-atm)/V
Hence the amount of heat absorbed by the gas (dQ)=dU+PdV
400 J+∫10120L−atmVdV=400 J+(20 L−atm)∫101 dVV=400 J+(20 L−atm) [ln10-ln1]=400 J+(20 L−atm ) (2.303log10−0)=400 J+(20 L−atm) (2.303)=400 J+46.06 L−2.303 atm=(400+4670.03) J=5070.03 J
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