Ideal Gas Equation | Find Gas Temperature

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To find the temperature of an ideal gas under isothermal conditions, the ideal gas equation (PV = nRT) is utilized, where three moles of gas are compressed from a volume of 5.5 * 10^-2 m³ to 2.8 * 10^-2 m³ while 6.5 * 10^3 J of work is performed on it. The challenge arises from having two variables, pressure and temperature, which complicates direct calculations. Additional relationships involving work, pressure, and volume are necessary to solve for the unknowns. The discussion emphasizes the importance of understanding isothermal processes and suggests reviewing relevant thermodynamic principles. Ultimately, the goal is to determine the gas's temperature while maintaining constant conditions throughout the compression.
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Homework Statement


Three moles of an ideal gas are compressed from 5.5 * 10^-2 to 2.8 * 10^-2 m3. During the compression, 6.5 * 10^3 J of work is done on the gas, and heat is removed to keep the temperature of the gas constant at all times.


Find the temperature of the gas.



Homework Equations


pv=nRT


The Attempt at a Solution


I plugged into the above equation so I have p(.028)=3(8.31)T but I don't know how to solve this since there are two variables.
 
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You also need a relationship between pressure, volume an energy
hint - work = force * distance
 
mgb_phys said:
You also need a relationship between pressure, volume an energy
hint - work = force * distance

U = f*d+Q
U = A*p*d+Q
U = p*V+QDoes that seem right?
 
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