A mixture of xenon and oxygen gas is compressed from a volume of 99.0 L to a volume of 98.0 L, while the pressure is held constant at 69.0 atm. Calculate the work done on the gas mixture. Be sure your answer has the correct sign (positive or negative) and the correct number of significant digits

Respuesta :

Answer: The work done on the gas mixture is [tex]+6.99\times 10^3Joules[/tex]

Explanation:

According to first law of thermodynamics:

[tex]\Delta E=q+w[/tex]

[tex]\Delta E[/tex]=Change in internal energy

q = heat absorbed or released

w = work done on or by the system

w = work done on the system =[tex]-P\Delta V[/tex]  {Work done on the system is positive when the final volume is lesser than initial volume }

w =[tex]-69.0atm\times (98.0-99.0)L=+69.0Latm[/tex]

w =[tex]+69.0Latm\times 101.3=+6.99\times 10^3Joules[/tex]  {1Latm=101.3J}

The work done on the gas mixture is [tex]+6.99\times 10^3Joules[/tex]