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A rectangular block of zinc was found to be 11.014 cm wide, 0.2481 m high, and 523.735 mm deep.

(a) How many significant figures are in the measurement of the width, height, and depth of the box?

(b)Calculate the volume of this box in units of cm3. Be sure to express your answer to the correct number of significant figures.

(c)Calculate the volume of this box in units of ft3.

(d)Zinc has a density of 7.140 g / cm3. What would be the mass of the box in kilograms?

(e)How many moles of zinc are contained in the block:

(f)If all of the zinc were converted to zinc phosphate, how many grams of this compound would be obtained?


Sagot :

From the stoichiometry of the problem, 2.01  × 10^5 g of zinc phosphate is produced.

What is volume?

Volume is the product of width, height and depth. The significant figures of the width, height and depth are 5, 4 and 6 respectively.The volume of the box is; 11.014  × 10^-2 m  × 0.2481 m × 523.735 × 10^-3 = 0.01431 m^3 or 14310 cm^3 or 0.5053ft^3.

Density of zinc = 7.140 g / cm3

Volume of zinc = 14310 cm^3

Mass of zinc = 7.140 g / cm3 ×  14310 cm^3 = 102 Kg

Moles of Zinc = mass /molar mass = 102 × 10^3/65 g/mol = 1569 moles

There are 195 g of zinc in  386 g zinc phosphate

102 × 10^3 g of Zn will produce  x g

x = 102 × 10^3 g ×  386 g / 195 g

x = 2.01  × 10^5 g of zinc phosphate

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