The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 °C and one bar will be released when 0.15 g of aluminium reacts?

Question

The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 °C and one bar will be released when 0.15 g of aluminium reacts? (A) 204 mL (B) 200 mL (C) 203 mL (D) 400 mL

Tardigrade Admin · Accepted Answer

The reaction between aluminium and caustic soda is

2 A l + 2 N a O H + 2 H_{2} O \to 2 N a A l O_{2} + 3 H_{2}

2 \times 27 = 54 g 3 \times 22.4 L

at

STP

∴ 54 g

of

A l

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 a t m P_{2} = 1 ba r = 0.987 a t m

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 m L

Q. The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 °C and one bar will be released when 0.15 g of aluminium reacts?

$204 m L$

$200 m L$

$203 m L$

$400 m L$

Q. The drain cleaner, Drainex contains small bits of aluminium which react with caustic soda to produce dihydrogen. What volume of dihydrogen at 20 °C and one bar will be released when 0.15 g of aluminium reacts?

204mL

200mL

203mL

400mL

$204 m L$

$200 m L$

$203 m L$

$400 m L$