An ideal gas expands at a constant total pressure of 3.4 atm from 500 mL to 650

Question

An ideal gas expands at a constant total pressure of 3.4 atm from 500 mL to 650 mL . Heat then flows out of the gas at constant volume, and the pressure and temperature are allowed to drop until the temperature reaches its original value.

Part A

Calculate the total work done by the gas in the process.

Express your answer to two significant figures and include the appropriate units.

Part B

Calculate the total heat flow into the gas.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Here ,

initial volume , Vi = 500 ml

Vi = 500 *10^-6 m^3

final volume , Vf = 650 ml

Vf = 650 *10^-6 m^3

part A)

total work done = Pressure * (Vf - Vi)

total work done = 3.4 * 1.01 *10^5 * (650 *10^-6 - 500 *10^-6)

total work done =51.5 J

the total work done by the gas is 51.5 J

part B)

total heat flow = - total work done

total heat flow = -51.5 J

the total heat flow from the gas is 51.5 J

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