An ideal gas expands isothermally, performing $4.30 \times 10^3 \textrm{ J}$ of work in the process. Calculate

VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. Since the internal energy change is three over two times number of moles of gas times Ideal Gas constant R times change in temperature that means change in internal energy is zero in this case. Because since its Isothermal there is no change in temperature. That's what Isothermal means. So with Delta T being zero Delta U also going to be zero. Now Delta U is the heat absorbed by the gas minus the work done by the gas. And if we add W to both sides we get that the heat absorbed equals the work done by the gas since we have zero there and that's so since there's a zero here all we have in the right hand side is just W. So Q equals W in which case the heat absorbed by the gas is going to be equal to the work that it does and that's going to be 4.3 times ten to the three joules.