Question

At what temperature will oxygen have the same density as that of n2 at 0°c,assuming pressure remains constant?

Answer 1

Explanation:

Let N2 be 1 and O2 be 2.

Density of N2 at 0 ℃ is given by -

d1 = W1 / V1

d1 = M1 × n1 / V1

d1 = M1 × P / RT1 ...(PV = nRT)

Density of O2 a temp T2 is given by -

d2 = W2 / V2

d2 = M2 × n2 / V2

d2 = M2 × P / RT2 ...(PV = nRT)

Given that,

d1 = d2

M1 × P / RT1 = M2 × P / RT2

T2 = M2 × T1 / M1

Substitute values,

T2 = 32 × 273 / 28

T2 = 312 K

T2 = 312-273 ℃

Hence at 39 ℃, O2 will have same density as that of N2 at 0 ℃.

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Answer 2

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