Question

В вертикальном цилиндре под тяжелым поршнем находится кислород массой 2 кг. Для повышения температуры кислорода на 5 К ему сообщили кол-во теплоты 9160 Дж. Найдите удельную теплоемкость кислорода, работу, совершенную им при расширении, и увелечение его внутренней энергии. Молярная масса кислорода 0,032 кг/моль. Ребят помогите пожалуйста..

Answer 1

Удельная теплоемкость идеального газа:

 

$c=\frac Q{m\Delta T}=916$ Дж/(кг*К)

 

Работа, совершенная газом при изобарном расширении:

 

$A=P\Delta V=\nu R\Delta T=\frac m M R\Delta T\approx2600$ Дж

 

Внутренняя энергия двуатомного газа увеличилась на:

 

$\Delta U=\frac52\nu R \Delta T=\frac52A\approx6500$ Дж

Answer 2

Calculation of Specific Heat Capacity of Oxygen

To find the specific heat capacity of oxygen, we can use the formula:

Q = mcΔT

Where: - Q is the amount of heat transferred - m is the mass of the substance - c is the specific heat capacity of the substance - ΔT is the change in temperature

In this case, the mass of oxygen is given as 2 kg, and the change in temperature is 5 K. The amount of heat transferred (Q) is given as 9160 J.

Plugging in the values into the formula, we can solve for the specific heat capacity (c):

9160 J = (2 kg) * c * 5 K

Simplifying the equation:

c = 9160 J / (2 kg * 5 K)

Calculating the value:

c = 9160 J / 10 kg K = 916 J/(kg K)

Therefore, the specific heat capacity of oxygen is 916 J/(kg K).

Calculation of Work Done by Oxygen during Expansion

To calculate the work done by the oxygen during expansion, we can use the formula:

W = PΔV

Where: - W is the work done - P is the pressure - ΔV is the change in volume

Unfortunately, the pressure and change in volume are not provided in the question. Without this information, we cannot calculate the work done by the oxygen during expansion.

Calculation of Increase in Internal Energy of Oxygen

The increase in internal energy of a substance can be calculated using the formula:

ΔU = Q - W

Where: - ΔU is the change in internal energy - Q is the amount of heat transferred - W is the work done

In this case, the amount of heat transferred (Q) is given as 9160 J, and the work done (W) is not provided.

Without the value of work done, we cannot calculate the increase in internal energy of the oxygen.

To summarize: - The specific heat capacity of oxygen is 916 J/(kg K). - The work done by the oxygen during expansion cannot be calculated without the pressure and change in volume information. - The increase in internal energy of the oxygen cannot be calculated without the work done information.