A monatomic ideal gas initially has a temperature of 330k and preassure of 3x105 Pa. The gas expands from a volume of 500cm3 to a volume of 1500cm3.  Calculate the work done by the gas (in Joules) if the expansion is isothermal. Calculate the change in internal energy (in Joules), if the expansion is adiabatic.    I know that the first two questions have the same results, but, why the work equals the change in internal energy? I know that in adiabatic expansion the work done equals the change in internal energy(which is negative). To calculate the work I could use the same formula as the first question, so, is that the reason for they to be equal? I was trying to calculate the result for the last question using the formula Δu = g/2*n*r*Δt, so, how can I find the change in internal energy considering this fomula and get to the same result?

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A monatomic ideal gas initially has a temperature of 330k and preassure of 3x105 Pa. The gas expands from a volume of 500cm3 to a volume of 1500cm3

Calculate the work done by the gas (in Joules) if the expansion is isothermal.

Calculate the change in internal energy (in Joules), if the expansion is adiabatic. 

 

I know that the first two questions have the same results, but, why the work equals the change in internal energy? I know that in adiabatic expansion the work done equals the change in internal energy(which is negative). To calculate the work I could use the same formula as the first question, so, is that the reason for they to be equal? I was trying to calculate the result for the last question using the formula Δu = g/2*n*r*Δt, so, how can I find the change in internal energy considering this fomula and get to the same result?

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