An ideal gas expands at constant pressure. (a) Show that PΔV = nRΔT. (b) If the gas is monatomic, start from the definition of internal energy and show that ΔU = 3/2 Wenv, where Wenv is the work done by the gas on its environment. (c) For the same monatomic ideal gas, show with the first law that Q = 5/2 Wenv. (d) Is it possible for an ideal gas to expand at constant pressure while exhausting thermal energy? Explain.

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An ideal gas expands at constant pressure. (a) Show that PΔV = nRΔT. (b) If the gas is monatomic, start from the definition of internal energy and show that ΔU = 3/2 Wenv, where Wenv is the work done by the gas on its environment. (c) For the same monatomic ideal gas, show with the first law that Q = 5/2 Wenv. (d) Is it possible for an ideal gas to expand at constant pressure while exhausting thermal energy? Explain.

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