Thermodynamics Question 315

Question: An ideal monoatomic gas is confined in a cylinder, fitted with piston, which is connected to spring . The gas is heated by a-small electric heater until the piston moves out slowly by 0.1 m. Find the work done by the gas. Spring constant = 8000 N/m,-piston area =8×103m2 atmospheric pressure =105Pa .

Options:

A) 40 J

B) 80 J

C) 120 J

D) 60 J

Show Answer

Answer:

Correct Answer: C

Solution:

[c]Work done =0x0p0Axdx+kx022

=p0Ax0+kx022=80+40=120J

where p = pressure of gas, p0=

atmospheric pressure k = spring constant x0= compression in spring.



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