a gas expands a variable pressure given by P= 20(lt-atm)/V during expansion from volume of 1 L to 10L, - Chemistry - Thermodynamics

Question

a gas expands a variable pressure given by P= 20(lt-atm)/V
during expansion from volume of 1 L to 10L, the gas undergoes a
change in internal energy of 400 J how much heat is absorbed by the
gas during expansion

Pue Dutta · Accepted Answer

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
â€‹ 400 J+∫11020L-atmVdV=400 J+(20
L-atm)∫110 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

a gas expands a variable pressure given by P= 20(lt-atm)/V .during expansion from volume of 1 L to 10L, the gas undergoes a change in internal energy of 400 J. how much heat is absorbed by the gas during expansion.