22g of CO2 at 270C is mixed with 16g of O2 at 370C. The temperature of the mixture is about
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a
31.50C
b
27∘C
c
370C
d
30.50C
answer is A.
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Detailed Solution
Temperature of 22g of Co2 is 270C Temperature of 16g of O2 is 370C Let T is the temperature of mixture. Temperature gain by Co2=Temperature loss by O2 μ1Cv1ΔT1=μ2Cv2ΔT2 ;here μ=number of moles;Cv is specific heat at constant volume;ΔT=change in temperature Substitute given value in above equation 2244×3R×(T−27)=1632×(52R)(37−T) 3×(T−27)=(52)(37−T) 6(T−27)=(5)(37−T) 6T−162=185−5T 11T=347 T=31.50C