A container contains a fixed amount of gas at 27 degree celcius. If the temperature of the container is increased to 77 degree celcius , what fraction of gas will be expelled?

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Solution

Dear student!
When amount is fixed, i.e n = constant,
PV = RT
Or T is directly proportional to V(volume)
So, V₁ / T₁ = V₂ / T₂ ,
Here, T₁ = 27 + 237 K =300K and, T₂ = 273+77 = 350 K
or, V₁ / V₂ = T₂ / T₁ = 350/ 300 = 1.16
Hence, the fraction of gas expelled will be , V₂ = V₁ / 1.16 = 0.82V₁

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A container contains a fixed amount of gas at 27 degree celcius. If the temperature of the container is increased to 77 degree celcius , what fraction of gas will be expelled?

Dear student!When amount is fixed, i.e n = constant, PV = RTOr T is directly proportional to V(volume)So, V1 / T1 = V2 / T2 ,Here, T1 = 27 + 237 K =300K and, T2 = 273+77 = 350 K or, V1 / V2 = T2 / T1 = 350/ 300 = 1.16 Hence, the fraction of gas expelled will be , V2 = V1 / 1.16 = 0.82V1