Need Help Timed Assessment Within 35 Hours

Need Help Timed Assessment To Be Completed Within 35hrs1 Suppose Y

Suppose your work is done to compress a gas is 50 J. If 100 J of heat is lost in the process, what is the change in the internal energy of the gas? Your response must be at least 75 words in length and should include any equations that are needed to answer the problem.

A system does 100 J of work to its surroundings and gains 50 J of heat in the process. Calculate the change in the internal energy of the system. Determine if the internal energy is increased or decreased during the process. Your response must be at least 75 words in length and should include any equations that are needed to answer the problem.

Paper For Above instruction

The first problem involves calculating the change in internal energy (ΔU) of a gas based on work done and heat exchange, according to the first law of thermodynamics. This law is expressed as ΔU = Q - W, where Q is the heat added to the system and W is the work done by the system. In the context of the problem, work done on the gas is 50 J, which implies W = -50 J if we consider work done on the gas as positive, but generally W is taken as work done by the system; thus, W = 50 J. The heat lost is 100 J, which means Q = -100 J (heat leaving the system). Substituting these values gives ΔU = -100 J - 50 J = -150 J. This indicates that the internal energy decreases by 150 J during the process, reflecting the fact that the system loses more heat than the work it performs.

The second problem requires calculating the change in internal energy when a system performs 100 J of work on its surroundings and gains 50 J of heat. Using the same thermodynamic relation ΔU = Q - W, with Q = 50 J (heat gained) and W = 100 J (work done by the system), we substitute these into the equation: ΔU = 50 J - 100 J = -50 J. Since the result is negative, the internal energy decreases by 50 J during the process. This decrease occurs because the work done by the system exceeds the heat gained, leading to an overall reduction in the internal energy.

In conclusion, both processes show a decrease in internal energy, but for different reasons—as heat is lost in the first case and more work is performed than heat gained in the second. Understanding these energy exchanges through the first law of thermodynamics helps explain how systems evolve during various thermodynamic processes and provides insight into energy efficiency and conservation.

References

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