Step-by-step explanation:
1.) 6Li + Al2(CO3)3 -----> 3Li2CO3 + 2Al
From the stoichiometry of the equation,
6 moles of Li reacts with 1 mole of Al2(CO3)3
x of Li will react with 1.64 moles of Al2(CO3)3
=> x = (1.64 × 6) ÷ 1
=> x = 9.84 moles of Li
2.) 2Mg + N2 -----> 2MgN
2 moles of Mg react completely with 14 g of N2
4.226 moles of Mg will react with x of N2
=> x = (4.226 × 14) ÷ 2
=> x = 29.582 g of N2
3.) 8Fe + S8 -----> 8FeS
256 g of Sulphur give 8(56 + 32)g of FeS
16 g of Sulphur will give x of FeS
=> x = (16 × 704) ÷ 256
=> x = 44 g of FeS
256 g of Sulphur react with 8(56)g of Fe
16 g of Sulphur will react with x of Fe
=> x = (16 × 8 × 56) ÷ 256
=> x = 28 g of Fe
4.) B2H6 + 3O2 -----> HBO2 + 2H2O
27.6 g of B2H6 burn in 3(32)g of O2
31.6 g of B2H6 will burn in x of O2
=> x = (31.6 × 3 × 32) ÷ 27.6
=> x = 109.9 g of O2
27.6 g of B2H6 produce 2 moles of H2O
12.8 g of B2H6 will produce x of H2O
=> x = (12.8 × 2) ÷ 27.6
=> x = 0.93 moles of H2O