The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen in mL at 20° C and one bar will be released when 0.15 g of aluminium reacts? (Take text1 textbar text= text0 text.987 textatm )

Question

The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen in mL at 20° C and one bar will be released when 0.15 g of aluminium reacts? (Take text1 textbar text= text0 text.987 textatm ) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

The reaction between aluminium and caustic soda is

= 54 g 2 \times 27 2 A l + 2 N a O H + 2 H_{2} O \to 2 N a A l O_{2} + atSTP 3 \times 22.4 L 3 H_{2}

So 54 g of Al produces

H_{2}

at STP

= 3 \times 22.4

L

0.15 g of Al will produce

H_{2}

at STP

= \frac{3 \times 22.4}{54} \times 0.15

= 0.186 L

At STP	Given Conditions
$P_{1} = 1$ atm	$P_{2} = 1$ bar $= 0.987$ atm
$V_{1} = 0.186$ L	$V_{2} = ?$
$T_{1} = 273$ K	$T_{2} = 273 + 20 = 293 K$

Applying ideal gas equation,

\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}}

\frac{1 \times 0.1867}{273} = \frac{0.987 \times V _{2}}{293}

V_{2} = \frac{293}{0.987} \times \frac{1 \times 0.1867}{273}

= 0.2030

L

= 203

mL

Q. The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen in mL at 20∘C and one bar will be released when 0.15 g of aluminium reacts? (Take 1bar=0.987atm )

Q. The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen in mL at $2 0^{\circ} C$ and one bar will be released when 0.15 g of aluminium reacts? (Take $1 bar = 0 .987 atm$ )