Question

В цилиндре с площадью основания 1 дм2 под поршнем находится газ. При изобарном нагревании поршень переместился на 20 см. Какую работу совершил газ, если наружное давление равно 100 кПа?.

Answer 1

Calculation of Work Done by the Gas

To calculate the work done by the gas when the piston moves, we can use the formula:

Work = Force x Distance

In this case, the force exerted by the gas on the piston is equal to the pressure multiplied by the area of the piston. The distance is given as 20 cm.

Given that the area of the piston is 1 dm^2 (since 1 dm^2 = 100 cm^2), and the external pressure is 100 kPa, we can calculate the work done by the gas.

Let's calculate the work step by step:

1. Convert the distance from centimeters to meters: - 20 cm = 0.2 m

2. Convert the pressure from kilopascals to pascals: - 100 kPa = 100,000 Pa

3. Calculate the force exerted by the gas on the piston: - Force = Pressure x Area - Force = 100,000 Pa x 0.01 m^2 (since 1 dm^2 = 0.01 m^2) - Force = 1,000 N

4. Calculate the work done by the gas: - Work = Force x Distance - Work = 1,000 N x 0.2 m - Work = 200 J

Therefore, the gas has done 200 Joules of work when the piston moves 20 cm under the given conditions.

Please note that the search results did not provide direct information for this specific question. However, the calculation is based on fundamental principles of physics and does not require external sources.