1. Derive the following equation: (1) The Tds relations for ideal gas (with constant specific heats): $s_2 - s_1 = c_v ln(frac{T_2}{T_1}) + R ln(frac{v_2}{v_1})$ $s_2 - s_1 = c_p ln(frac{T_2}{T_1}) - R ln(frac{P_2}{P_1})$ (2) The isentropic process equations of the ideal gas (with constant specific heats): $Pv^k = const.$ $Tv^{k-1} = const.$ $P^{1-k}T^k = const.$
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The Tds relations for ideal gas (with constant specific heats): We start with the first law of thermodynamics for a closed system: dQ = dU + PdV where dQ is the heat added to the system, dU is the change in internal energy, P is the pressure, and dV is the Show more…
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