Summation rule can be used for ideal gases to calculate...

Question

BlackTom AI · Accepted Answer

The question asks about what the summation rule can be used to calculate for ideal gases.
Option a. specific volume: For an ideal gas, specific volume v is determined by the equation v = RT/p and is not obtained by a simple summation rule. While it relates to state variables, it isn’t computed by summing component properties in the way a mixture property often is, so this is not the appropriate application of the summation rule here.
Option b. specific enthalpy: For an ideal gas, the specific enthalpy h depends only on temperature (h = ∫ cp dT + constant), and in many contexts, enthalpy can be obtained by summing contributions when considering a process or mixture at a given temperature. This makes the summation-rule approach applicable to determining h when temperature contributions from components or stages are involved.
Option c. temperature: Temperature is a fundamental state variable; it is not computed by summing other properties. The summation rule is not used to “calculate” temperature itself, but rather to combine certain properties to obtain others. Therefore this option is not appropriate.
Option d. specific internal energy: For an ideal gas, the specific internal energy u depends only on temperature (u = ∫ cv dT + constant). Similar to enthalpy, if you’re combining contributions or stages, a summation approach can be used to assemble u from temperature-dependent components. Hence this is a valid application of the summation rule in this context.
In summary, the summation rule applies to assembling temperature-dependent property contributions to yield specific enthalpy and specific internal energy (options b and d), whereas specific volume and temperature do not fit this use in the stated context.

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