Question

В цилиндре под поршнем находится m = 80 г неона. Его нагревают на Т 100 К от первоначальной температуры T1 = 300 К. Этот процесс идёт так, что температура газа меняется пропорционально квадрату давления. Какую работу совершает газ в этом процессе и сколько тепла было к нему подведено?

Answer 1

Ответ:

Получается то,что А≈1,8 кДж

Answer 2

Given Information

In the cylinder under the piston, there is a mass of m = 80 g of neon. It is heated by ΔT = 100 K from the initial temperature T1 = 300 K. The process occurs in such a way that the temperature of the gas changes proportionally to the square of the pressure.

Calculation of Work Done by the Gas

To calculate the work done by the gas in this process, we can use the formula for the work done in an isobaric process, which is given by:

W = PΔV

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

Since the temperature of the gas changes proportionally to the square of the pressure, we can use the ideal gas law to find the change in volume. The ideal gas law is given by:

PV = nRT

Where: - P = pressure - V = volume - n = number of moles - R = ideal gas constant - T = temperature

By rearranging the ideal gas law, we can find the change in volume:

ΔV = V2 - V1 = (nR(T2/P2)) - (nR(T1/P1))

Substituting the given values and solving for ΔV, we can then calculate the work done by the gas.

Calculation of Heat Added to the Gas

To calculate the heat added to the gas, 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:

ΔU = Q - W

Where: - ΔU = change in internal energy - Q = heat added - W = work done

By rearranging the equation, we can solve for Q:

Q = ΔU + W

Substituting the given values and the calculated work done, we can then find the heat added to the gas.

Let's proceed with the calculations.