how many grams of cacl2 are in 250 ml of 2.0 m cacl2? g cacl2
16.7 g CaCl₂
Step-by-step
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Molarity definition
2.0textM2.0\\text{M}2.0textM means 2.0textmolCaCl22.0\\text{mol CaCl}_22.0textmolCaCl2 per 1.0textLsolution1.0\\text{L solution}1.0textLsolution. -
Convert volume
250textmL=0.250textL250\\text{mL}=0.250\\text{L}250textmL=0.250textL. -
Find moles of CaCl₂
moles=2.0fracmolL×0.250textL=0.50textmol\text{moles}=2.0\\frac{\text{mol}}{\text{L}}\times 0.250\\text{L}=0.50\\text{mol}moles=2.0fracmolL×0.250textL=0.50textmol
- Molar mass of CaCl₂
- Ca ≈ 40.1 g/mol
- Cl ≈ 35.5 g/mol, and there are 2 Cl atoms
MCaCl2≈40.1+2(35.5)=111.1textg/molM_{\text{CaCl}_2}\approx 40.1+2(35.5)=111.1\\text{g/mol}MCaCl2≈40.1+2(35.5)=111.1textg/mol
- Convert moles to grams
mass=0.50textmol×111.1fracgmol≈55.55textg\text{mass}=0.50\\text{mol}\times 111.1\\frac{\text{g}}{\text{mol}}\approx 55.55\\text{g}mass=0.50textmol×111.1fracgmol≈55.55textg
So, for 250 mL of 2.0 M CaCl₂, the correct mass is about 55.6 g CaCl₂ (not 16.7 g).