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At a temperature of \( 0^{\circ} \mathrm{C} \), the mass and volume of a fluid are \( 825 \mathrm{~kg} \) and \( 1.17 \mathrm{~m}^{3} \). The coefficient of volume expansion is \( 1.26 \times 10^{-3} /{ }^{\circ} \mathrm{C} \). What is the density of the fluid when the temperature has risen to \( 20.0^{\circ} \mathrm{C} \) ?
(A) \( 688 \mathrm{~kg} / \mathrm{m}^{3} \)
(B) \( 562 \mathrm{~kg} / \mathrm{m}^{3} \)
(C) \( 705 \mathrm{~kg} / \mathrm{m}^{3} \)
(D) \( 641 \mathrm{~kg} / \mathrm{m}^{3} \)
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