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A gas, for which r is 4/3, is heated at constant pressure. The percentage of heat supplied used for external work.
Select one:
  • a)
    40%
  • b)
    60%
  • c)
    75%
  • d)
    25%
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A gas, for which r is 4/3, is heated at constant pressure. The percent...


The correct answer is: 25%
Community Answer
A gas, for which r is 4/3, is heated at constant pressure. The percent...
Percentage of Heat Used for External Work in a Gas
Heat supplied to the gas = q
External work done by the gas = w
Change in internal energy of the gas = ΔU

Given:
r = 4/3
Pressure is constant

Calculating the Internal Energy Change (ΔU)
ΔU = q - w
ΔU = q - PΔV
ΔU = q - P(Vf - Vi)

Calculating the Work Done by the Gas (w)
w = PΔV
w = P(Vf - Vi)
w = P(Vf - Vi) = P(Vf - Vi)

Calculating the Percentage of Heat Used for External Work
Percentage of heat used for external work = (w/q) x 100%
Percentage of heat used for external work = (PΔV/q) x 100%
Percentage of heat used for external work = (P(Vf - Vi)/q) x 100%
Percentage of heat used for external work = (P(Vf - Vi)/q) x 100%
Percentage of heat used for external work = (4/3)(Vi - Vf)/q x 100%
Percentage of heat used for external work = (4/3)(Vi - Vf)/q x 100%

Conclusion:
Given that r = 4/3, the percentage of heat supplied used for external work is 25%.
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A gas, for which r is 4/3, is heated at constant pressure. The percentage of heat supplied used for external work.Select one:a)40%b)60%c)75%d)25%Correct answer is option 'D'. Can you explain this answer?
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