The temperature (in k) at which the density of this liquid will be equal to 1.183 g/cm³ is; 639.6 K
We are given the formula for density as;
D = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)
Where D is density and T is absolute temperature (In K).
If we want a density of 1.183 g/cm³, then we have;
1.183 = = 1.246 g/cm³/(1 + 8.324 * 10⁻⁵ K⁻¹ × T)
Cross multiply to get;
1.183 + (1.183 * 8.324 * 10⁻⁵ * T) = 1.246
1.183 + 0.985 * 10⁻⁴T= 1.246
0.985 * 10⁻⁴T = 1.246 - 1.183
T = 0.063/( 0.985 * 10⁻⁴)
T = 639.6 K
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