Question

In: Chemistry

"E" means exponent. For example, 1 E 2 means 100, and 1 E 6 means 1,000,000...

"E" means exponent. For example, 1 E 2 means 100, and 1 E 6 means 1,000,000 or 1 million.

Numbers adjacent to element symbols are subscripts in the chemical formulas that follow, whereas isolated numbers are chemical equation coefficients.

Cl2(g) + 2 NaOH(aq) → NaOCl(aq) + NaCl(aq) + H2O(l)

What minimum volume of chlorine gas at 101.4 kPa and 18.0 °C must be used to react with all the sodium hydroxide in 3525 L of 12.5 M NaOH?

A. 2.10 E 6 L Cl2(g)

B. 5.26 E 5 L NaOCl(aq)

C.2.10 E 6 L NaCl(aq)

D.5.26 E 5 L Cl2(g)

E. Other______

Solutions

Expert Solution

Moles of NaOH = Molarity of NaOH x Volume of NaOH

                          = 12.5 M x 3525 L

                          = 44062.5 moles

     Applying PV = nRT, we get

                      V =

                         = (44062.5 x 8.314 x 291)/101.4

                         = 1.05 E 6 L

Since there are 2 moles of NaOH in balanced equation given, the correct minimum volume of chlorine gas is 2 x 1.05 E 6 L Cl2 = 2.10 E 6 L Cl2 (g). Hence the correct choice is A.

                               


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