Question

A piston is compressed from a volume of 8.47 L to 2.62 L against a constant pressure of 1.93 atm. In the process, there is a heat gain by the system of 360. J. 371.2 Incorrect: Your answer is incorrect. J

Answer 1

Answer:

1144J

Explanation:

To find the heat gain by the system you consider that all heat is generated by the work done by the piston, that is:

$Q=W=P\Delta V$

P: constant pressure = 1.93atm= 1.93(101325pas) = 195557.25J/m^3

ΔV: change in the volume 8.47-2.62L=5.85L

5.85(1000cm^3)=5.85(1000(10^-2m)^3)=5.85*10^{-3}m^3

By replacing the values of V and P you obtain:

$1Q=(195557.25J/m^3)(5.85*10^{-3}m^3)=1144J$

hence, the gain by the system is 1144J