Question

В цилиндре под поршнем содержится газ , давление которого равняется 5*10'5(степень)Па. Газ изобарные нагревают к тампературе вдвое выше начальной. Определите работу которую газ выполнит во время расширения если его начальный оъем равняется 10л.

Answer 1

P=const
V1/T1=V2/T2
T1=T
T2=2T
V1/T=V2/2T
V2=V1*2T/T=2*V1
A=p(V2-V1)
A=p(2V1-V1)=pV1
A=0,01м^3*5*10^5ПА= 5*10^3 Дж

Answer 2

Calculation of Work Done by the Gas

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

Work = Pressure * Change in Volume

Given: - Initial pressure (P1) = 5 * 10^5 Pa - Initial volume (V1) = 10 L - Final volume (V2) = 2 * V1 = 2 * 10 L = 20 L (since the gas is isobarically heated to twice the initial temperature)

To find the change in volume, we can subtract the initial volume from the final volume:

Change in Volume (ΔV) = V2 - V1 = 20 L - 10 L = 10 L

Now, we can substitute the values into the formula to calculate the work done by the gas:

Work = Pressure * Change in Volume = P1 * ΔV

Let's calculate the work using the given values:

Work = (5 * 10^5 Pa) * (10 L) = 5 * 10^6 J

Therefore, the work done by the gas during expansion is 5 * 10^6 J.

Please note that the above calculation assumes ideal gas behavior and isobaric conditions.