Two moles of an ideal gas undergoes the following process. Given that $(\frac{\partial P}{\partial T})_{V}$ is $x \times 1 0^{- y} atm / K$ , then calculate the value of (x + y).

Question

Two moles of an ideal gas undergoes the following process. Given that ( ∂ T ∂ P ​ ) V ​ is x × 1 0 − y atm / K , then calculate the value of (x + y).

TestHub · Accepted Answer

Convert points to Kelvin: ( 27℃ , 3 a t m ) → ( 300 K , 3 a t m ) and ( 127℃ , 4 a t m ) → ( 400 K , 4 a t m ) .Calculate the slope: ( ∂ T ∂ P ​ ) V ​ = Δ T Δ P ​ = 400 − 300 4 − 3 ​ = 100 1 ​ a t m / K Express in standard scientific notation: 100 1 ​ = 1 × 1 0 − 2 a t m / K . Find variables and sum: Comparing with x × 1 0 − y gives x = 1 and y = 2 , so x + y = 3 .

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