Question #75168

How many grams of CaCl2 are needed to make a solution with a concentration of 3.0 m from 2.25 kg of water?

A. 7.5 x 102 g CaCl2
B. 7.50 kg CaCl2
C. 7.50 × 10–2 kg CaCl2
D. All of the Above
E. None of the Above

Expert's answer

Answer on Question #75168, Chemistry / General Chemistry

How many grams of CaCl2\mathrm{CaCl}_2 are needed to make a solution with a concentration of 3.0 M3.0\,\mathrm{M} from 2.25 kg2.25\,\mathrm{kg} of water?

A. 7.5×102 g CaCl27.5 \times 10^{2} \, \mathrm{g} \, \mathrm{CaCl}_2

B. 7.50 kg CaCl27.50\,\mathrm{kg} \, \mathrm{CaCl}_2

C. 7.50×10−2 kg CaCl27.50 \times 10^{-2} \, \mathrm{kg} \, \mathrm{CaCl}_2

D. All of the Above

E. None of the Above

Solution

Cm=vv; v=CmVC_m = \frac{v}{v}; \, v = C_m Vv(CaCl2)=3×2.25=6.75 (mole);v(\mathrm{CaCl}_2) = 3 \times 2.25 = 6.75\,\mathrm{(mole)};m(CaCl2)=v(CaCl2)×M(CaCl2)=6.75×111=749.25 (g)m(\mathrm{CaCl}_2) = v(\mathrm{CaCl}_2) \times M(\mathrm{CaCl}_2) = 6.75 \times 111 = 749.25\,\mathrm{(g)}

Answer

A. 7.5×102 g CaCl27.5 \times 10^{2} \, \mathrm{g} \, \mathrm{CaCl}_2

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