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To find the molarity of the diluted solution, first calculate the number of moles of SrCl2 in the original solution: [ \text{moles} = \text{Molarity} \times \text{Volume} = 5.0 , \text{M} \times 3.5 , \text{L} = 17.5 , \text{moles} ] Next, divide the moles by the new volume: [ \text{Molarity} = \frac{\text{moles}}{\text{Volume}} = \frac{17.5 , \text{moles}}{45 , \text{L}} \approx 0.389 , \text{M} ] Thus, the molarity of the diluted solution is approximately 0.39 M.
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To find the pressure exerted by the gas, we can use the Ideal Gas Law, which is ( PV = nRT ). Here, ( n = 2.26 ) mol, ( R = 0.0821 , \text{L} \cdot \text{atm} / (\text{mol} \cdot \text{K}) ), and ( T = 32°C = 305 , \text{K} ). Plugging in the values, we get ( P = \frac{nRT}{V} = \frac{(2.26 , \text{mol}) \cdot (0.0821 , \text{L} \cdot \text{atm} / (\text{mol} \cdot \text{K})) \cdot (305 , \text{K})}{2.92 , \text{L}} \approx 18.1 , \text{atm} ).
To calculate the mass of calcium chloride (CaCl₂) required for a 1.56 M solution, first use the formula: [ \text{mass (g)} = \text{molarity (mol/L)} \times \text{volume (L)} \times \text{molar mass (g/mol)} ] The molar mass of CaCl₂ is approximately 110.98 g/mol. Therefore, for 2.85 L of a 1.56 M solution: [ \text{mass} = 1.56 , \text{mol/L} \times 2.85 , \text{L} \times 110.98 , \text{g/mol} \approx 49.3 , \text{g} ] Thus, about 49.3 grams of calcium chloride is needed.
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To calculate the grams of LiCl needed to make a 2.0 L solution at a concentration of 0.65 M, use the formula: [ \text{grams of solute} = \text{molarity} \times \text{volume (L)} \times \text{molar mass} ] The molar mass of LiCl is approximately 42.39 g/mol. Thus: [ \text{grams of LiCl} = 0.65 , \text{mol/L} \times 2.0 , \text{L} \times 42.39 , \text{g/mol} \approx 55.85 , \text{g} ] Therefore, approximately 55.85 grams of LiCl are required.
To find the grams of solute needed, use the formula: [ \text{grams} = \text{molarity (M)} \times \text{volume (L)} \times \text{molar mass (g/mol)}. ] The molar mass of Al(NO₃)₃ is approximately 213.00 g/mol. For a 3.0 M solution in 2.5 L: [ \text{grams} = 3.0 , \text{mol/L} \times 2.5 , \text{L} \times 213.00 , \text{g/mol} = 1597.5 , \text{g}. ] Thus, you would need approximately 1597.5 grams of Al(NO₃)₃.
To find the number of moles of KBr in a 1.65 M solution, you can use the formula: [ \text{moles} = \text{molarity} \times \text{volume (L)} ] First, convert 68.5 mL to liters: 68.5 mL = 0.0685 L. Then, multiply by the molarity: [ \text{moles} = 1.65 , \text{mol/L} \times 0.0685 , \text{L} \approx 0.113 , \text{moles} ] So, there are approximately 0.113 moles of KBr in 68.5 mL of a 1.65 M solution.
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