Answer:
There is 30 mL of CrCl3 necessary
Step-by-step explanation:
Step 1: Data given
Volume of Pb2+ = 50 mL = 0.05L
Molarity of Pb2+ = 0.90 M
Molarity of CrCl3 = 1.0 M
Step 2: The balanced equation
2CrCl3 + 3Pb(NO3)2 → 3PbCl2 + 2Cr(NO3)3
3PbCl2 → 3Pb2+ 6Cl-
For 2 moles CrCl3 consumed, we need 3 moles Pb(NO3)2 to produce 3 moles of PbCl2 and 2 moles of Cr(NO3)3
Step 3: Calculate moles Pb2+
Moles Pb2+ = Molarity Pb2+ * volume
Moles Pb2+ = 0.90 M * 0.05 L
Moles Pb2+ = 0.045 moles
Step 4: Calculate moles PbCl2
For 2 moles CrCl3 consumed, we need 3 moles Pb(NO3)2 to produce 3 moles of PbCl2 and 2 moles of Cr(NO3)3
For 0.045 moles of pb2+ we have 0.045 moles of PbCl2
Step 5: Calculate moles of CrCl3
For 3 moles PbCl2 produced, we need 2 moles CrCl3 consumed.
For 0.045 moles of PbCl2, we need 0.030 moles of CrCl3
Step 6: Calculate volume of CrCl3 solution
Volume = moles CrCl3 /Molarity
volume = 0.030 moles / 1M
volume = 0.030 L = 30mL
There is 30 mL of CrCl3 necessary