22 g of CO₂ at 27⁰ C is mixed with 16 g of O₂ at 37⁰C. If both gases are considered as ideal, then temperature of mixture is

30.5⁰C

37⁰C

27⁰C

29.3⁰C

Solution

29.3⁰C

$22 g of {CO}_{2} at T_{1} = 27^{o} C = 27 + 273 = 300 k is mixed with 16 g of O_{2} at T_{2} = 37^{0} C = 37 + 273 = 310 k molar mass of carbon = 12 g / mol and molar mass of oxygen = 16 g / mol by addition of both \Rightarrow 12 + 16 \times 2 = 44 g / mol simillarly, O_{2} \Rightarrow 16 \times 2 = 32 g / mol T = \frac{n_{1} C_{v_{1}} T_{1} + n_{2} C_{v_{2}} T_{2}}{n_{2} C_{v_{1}} + n_{2} C_{v_{2}}} = \frac{\frac{22}{44} \times 3 R \times 300 + \frac{16}{32} \times \frac{5}{2} R \times 310}{\frac{22}{44} \times 3 R + \frac{16}{32} \times \frac{5}{2} R} = 302.3 k = 29 . 3^{0} C$

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Mechanical Properties Of Fluids

22 g of CO₂ at 27⁰ C is mixed with 16 g of O₂ at 37⁰C. If both gases are considered as ideal, then temperature of mixture is

30.5⁰C

37⁰C

27⁰C

29.3⁰C

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Mechanical Properties Of Fluids

22 g of CO2 at 270 C is mixed with 16 g of O2 at 370C. If both gases are considered as ideal, then temperature of mixture is 30.50C 370C 270C 29.30C

Some More Questions From Mechanical Properties of Fluids Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

22 g of CO₂ at 27⁰ C is mixed with 16 g of O₂ at 37⁰C. If both gases are considered as ideal, then temperature of mixture is

30.5⁰C

37⁰C

27⁰C

29.3⁰C