Question

При изотермическом сжатии газ передал окружающим телам 500 Дж теплоты. Какую работу совершил газ?

Answer 1

Дано Q=-500 Дж    А- ?

так как T=const   ΔU=0

Q=A=-500 Дж

Answer 2

Calculating the Work Done by the Gas

When a gas undergoes an isothermal compression, it transfers heat to the surroundings. In this case, the gas has transferred 500 J of heat to the surroundings. We can calculate the work done by the gas using the formula for isothermal compression:

Work done by the gas (W) = -nRT ln(V2/V1)

Where: - n = number of moles of the gas - R = ideal gas constant - T = temperature - V1 = initial volume - V2 = final volume

Let's calculate the work done by the gas using the given information.

Calculation

Given: - Heat transferred to the surroundings (Q) = 500 J

From the first law of thermodynamics, for an isothermal process, the heat transferred is equal to the work done by the gas:

Q = W

Therefore, the work done by the gas (W) is 500 J.

Conclusion

The gas has done 500 J of work during the isothermal compression.