A system is taken from state a to state c by two paths adc and abc as shown in the figure. The internal energy at a is $$Ua=10J$$. Along the path adc the amount of heat heat absorbed δ$$Q1=50$$ J and the work obtained δ$$W1=20$$ J whereas along the path abc the heat absorbed δ$$Q2=36$$ J. The amount of work along the path abc is

Question

A system is taken from state a to state c by two paths adc and abc as shown in the figure. The internal energy at a is $$Ua=10J$$. Along the path adc the amount of heat heat absorbed δ$$Q1=50$$ J and the work obtained δ$$W1=20$$ J whereas along the path abc the heat absorbed δ$$Q2=36$$ J. The amount of work along the path abc is

Infinity Learn · Accepted Answer

According to first law of thermodynamics,δ$$Q=$$δ$$U+$$δWAlong the path adc Change in internal energy,δ$$U1=$$δ$$Q1-$$δ$$W1=50$$ $$J-20$$ $$J=30$$ JAlong the path abc Change in internal energy,δ$$U2=$$δ$$Q2-$$δ$$W2$$ δ$$U2=36$$ $$J-$$δ$$W2As$$ change in internal energy is path independent.∴  δ$$U1=$$δ$$U2$$ ∴  $$30$$ $$J=36$$ $$J-$$δ$$W2$$ δ$$W2=36$$ $$J-30$$ $$J=6$$ J

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material