Calculate the volume of hydrogen liberated when 230 grams of sodium reacts with excess of water at STP (Atomic mass of Na = 23, O = 16, H = 1).
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Explanation:
Given that,
Atomic masses of sodium =23u
Oxygen =16u
Hydrogen =1u
Now,
2Na
(g)
+2H
2
O→2NaOH
(aq)
+H
2
(g)↑
(2×23)u+2(2×1+1×16)u→2(23+16+1)u+(2×1)u
46u+36u→80u+2u
46g+36g→80g+2g
As per the balanced equation
46g of Na = 2g of Hydrogen
230 g of Na =230×
46
2g
=10g of hydrogen
I gram molar mass of any gas at STP
22.4 liters know as gram molar volume
2.0 g of hydrogen occupies =10.0g×
2.0g
22.4
=112 liters
2 g of hydrogen, 1 mole of H
2
contains 6.02×10
23
x H molecules 10g of hydrogen contain
=
2.0g
10.0g×6.02×10
23
=30.10×10
23
=3.01×10
24
molecules
Hence, this is the required solution
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