GATE XE (Engineering Sciences) 2024 - Question 71

Section: Thermodynamics | Type: MSQ | Marks: 1

Consider a mixture of ideal gases with total pressure, volume, and temperature as 𝑃, 𝑉, and 𝑇, respectively. The partial pressure, number of moles, and temperature of each component “𝑖” of the mixture are 𝑃𝑖 , 𝑁𝑖 , and 𝑇𝑖 , respectively. Which of the following statements is/are TRUE ?

• A. 𝑇= ∑𝑇𝑖 𝑖
• B. 𝑃= ∑𝑃𝑖 𝑖
• C. 𝑉= ∑𝑁𝑖𝑅𝑇 𝑃 𝑖
• D. 𝑉= ∑𝑁𝑖𝑅𝑇 𝑃𝑖 𝑖

Answer: A. 𝑇= ∑𝑇𝑖 𝑖