Calculate the mass, in kg, of each sample. a. 7.55 * 1026 cadmium atoms b. 8.15 * 1027 nickel atoms c. 1.22 * 1027 manganese atoms d. 5.48 * 1029 lithium atoms

141kg of Cadmium

794kg of Nickel

111kg of Manganese

6.32*10³kg of lithium

Explanation:

From the question I guess the number of atomes for cadmium, nickel. Manganese and lithium are 7.55*10²⁶, 8.16*10²⁷, 1.22*10²⁷, 5.48*10²⁹ atoms respectively

1 mole of a substance contains 6.022*10²³ atoms

There are 1 * 7.55*10²⁶/6.022*10²³ moles in 7.55*10²⁶ atoms of Cadmium

This is equal to 1.254*10³ moles

Also, the atomic mass of cadmium is 112.411 g / mole i. e for 112.411 g you will have a molr of cadmium. For 1.254*10³moles, you will have 112.411*1.254*10³ grams = 140.96 * 10³ grams

1000g = 1kg

153.50*10³ g = 140.96*10³/1000 kg or 141kg of Cadmium

b.

There are 1 * 8.15*10²⁷/6.022*10²³ moles in 8.15*10²⁷ atoms of Nickel

This is equal to 1.353*10⁴ moles

Also, the atomic mass of nickel is 58.69 g / mole i. e for 58.69 g you will have a mole of nickel. For 1.353*10⁴moles, you will have 58.69*1.353*10⁴ grams = 79.41 * 10⁴ grams

1000g = 1kg

79.41*10⁴ g = 79.41*10⁴/1000 kg or 794kg of Nickel

c.

There are 1 * 1.22*10²⁷/6.022*10²³ moles in 1.22*10²⁷atoms of Manganese

This is equal to 2.026*10³ moles

Also, the atomic mass of manganese is 54.94 g / mole i. e for 54.94 g you will have a mole of manganese. For 2.026*10³moles, you will have 54.94*2.026*10³ grams = 11.131 * 10⁴grams

1000g = 1kg

11.131*10⁴ g = 11.131*10⁴/1000 kg or 111kg of Manganese

d.

There are 1 * 5.48*10²⁹/6.022*10²³ moles in 5.48 * 10²⁹ atoms of lithium

This is equal to 9.1*10⁵ moles

Also, the atomic mass of lithium is 6.941 g / mole i. e for 6.941 g you will have a mole of lithium. For 9.1*10⁵moles, you will have 6.941*9.1*10⁵ grams=63.16*10⁵grams

1000g = 1kg

63.16*10⁵ g = 63.16*10⁵/1000 kg or 6.32*10³kg of lithium