Question

Смесь состоит из двух газов. Первый газ расширился, совершив 400 Дж работы и увеличил внутреннюю энергию на 150 Дж, над вторым газом было совершено 50 Дж работы по сжатию и его внутренняя энергия увеличилась на 300 Дж. Определите какое количество теплоты было получено или потеряно смесью.

Answer 1

Ответ:

Объяснение:

Дано:

A₁ =   400 Дж

ΔU₁ =  150 Дж

A₂ =  -  50 Дж

ΔU₂ = 300 Дж

____________

Q - ?

По первому началу термодинамики:

Q₁ = ΔU₁ + A₁ = 150 + 400 = 550 Дж

Q₂ = ΔU₂ + A₂ = 300 -  50 = 250 Дж

Q = Q₁ + Q₂ = 550 + 250 = 800 Дж

Смесью было получено 800 Дж теплоты

Answer 2

Calculating Heat Transfer in Gas Mixture

To calculate the heat transfer in the gas mixture, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. The equation for the first law of thermodynamics is:

ΔU = Q - W

Where: - ΔU is the change in internal energy - Q is the heat added to the system - W is the work done by the system

Given Data

- The first gas expanded, performing 400 J of work and increasing its internal energy by 150 J. - The second gas was compressed, with 50 J of work done on it, increasing its internal energy by 300 J.

Calculating Heat Transfer

To calculate the heat transfer, we can use the equation:

Q = ΔU + W

For the first gas: - ΔU1 = 150 J (increase in internal energy) - W1 = 400 J (work done)

For the second gas: - ΔU2 = 300 J (increase in internal energy) - W2 = -50 J (work done, negative because work is done on the gas)

Now, let's calculate the total heat transfer for the gas mixture:

Q_total = ΔU1 + W1 + ΔU2 + W2

Q_total = 150 J + 400 J + 300 J - 50 J

Q_total = 800 J

So, the total amount of heat transferred by the gas mixture is 800 J.

This calculation assumes that there are no other forms of energy transfer (e.g., kinetic or potential energy changes) and that the system is closed.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.