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calculate the molar mass of kal(so₄)₂·12h₂o? report your answer with at…

Question

calculate the molar mass of kal(so₄)₂·12h₂o?
report your answer with at least two digits after the decimal point.

g/mol

Explanation:

Step1: Find the molar mass of each element

  • Molar mass of \(K = 39.098\space g/mol\)
  • Molar mass of \(Al=26.982\space g/mol\)
  • Molar mass of \(S = 32.065\space g/mol\)
  • Molar mass of \(O = 15.999\space g/mol\)
  • Molar mass of \(H = 1.008\space g/mol\)

Step2: Calculate the molar mass of \(KAl(SO_{4})_{2}\cdot12H_{2}O\)

  • For \(K\): \(1\times39.098 = 39.098\space g/mol\)
  • For \(Al\): \(1\times26.982 = 26.982\space g/mol\)
  • For \(S\): \(2\times32.065=64.13\space g/mol\)
  • For \(O\) in \(SO_{4}\): \(8\times15.999 = 127.992\space g/mol\)
  • For \(H_{2}O\): \(12\times(2\times1.008 + 15.999)=12\times(2.016+15.999)=12\times18.015 = 216.18\space g/mol\)
  • Sum all parts: \(39.098+26.982 + 64.13+127.992+216.18\)
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Answer:

\(474.38\space g/mol\)