The solution must include the following parts: given or known, find, basic or ba

Question

The solution must include the following parts: given or known, find, basic or basic relation(s), the symbolic or symbolic solution, and the numerical or numerical solution. All work, units, and conversions to standard units must be shown and must be correct. When a quantity of monatomic ideal gas expands at a constant pressure of 3.10 times 10^4 Pa, the volume of the gas from 1.95 times 10^-3 m^3 to 8.25 times 10^-3 m^3. What is the change in the internal energy of the gas? Given: Find: Basic relations: Symbolic solution (Find completely expressed in terms of given): Numerical solution (show correct units):

Explanation / Answer

Pressure = 3.10*10^4 Pa

Initial volume, V = 1.95*10^-3 m^3

Final volume, V' = 8.25*10^-3 m^3

For Ideal gas,

PV = nRT => PdV=nRdT

Change in internal energy,

dU = 3/2 nRdT = 3/2(PdV)

= 3/2*3.10*10^4*(8.25-1.95)*10^-3

= 292.95 J

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