Question

631(h). Какую работу совершил воздух массой 200 г при его изобарном нагревании на 20 К? Какое количество теплоты ему при этом сообщили?

Answer 1

Работа при изобарном процессе определяется формулой A = P(V2-V1) = νk(T2 - T1)
= (200/29)*8,31*20 = 1146,2 Дж

Answer 2

Calculation of Work Done by Air Mass

To calculate the work done by an air mass during its isobaric heating, we can use the formula:

Work = Pressure * Change in Volume

In this case, the air mass has a mass of 200 g and is subjected to isobaric heating, which means the pressure remains constant. The change in volume can be calculated using the ideal gas law:

Change in Volume = (Change in Temperature) * (Initial Volume) / (Initial Temperature)

Given that the air mass is heated by 20 K, we can calculate the change in volume. However, we need to know the initial volume and temperature of the air mass to proceed with the calculation.

Unfortunately, the provided question does not provide the initial volume or temperature of the air mass. Without this information, it is not possible to calculate the work done by the air mass during its isobaric heating.

Calculation of Heat Transferred to the Air Mass

To calculate the amount of heat transferred to the air mass during its isobaric heating, we can use the formula:

Heat = Mass * Specific Heat Capacity * Change in Temperature

In this case, the air mass has a mass of 200 g and is heated by 20 K. To calculate the heat transferred, we need to know the specific heat capacity of the air.

The specific heat capacity of air depends on various factors, such as temperature and pressure. At constant pressure, the specific heat capacity of air is approximately 1.005 kJ/(kg·K).

Using this value, we can calculate the heat transferred to the air mass:

Heat = (Mass) * (Specific Heat Capacity) * (Change in Temperature)

Heat = (0.2 kg) * (1.005 kJ/(kg·K)) * (20 K)

Heat = 4.02 kJ

Therefore, the amount of heat transferred to the air mass during its isobaric heating is approximately 4.02 kJ.

Please note that the calculations provided above are based on assumptions and approximations. The actual values may vary depending on the specific conditions and properties of the air mass.