Question

In: Chemistry

can you find the oxygen in room(Kg) if density of air is 1.225 * 10-3 g/cm3and...

can you find the oxygen in room(Kg) if density of air is 1.225 * 10^-3 g/cm³and percent of oxygen in air is 21%

volume of the room : 327.29 m³

Expert Solution

Mass (m), Volume(V), Density (d) related through relation,

d = m/V ......all expressed in same type of unit.

m = dV

Given: V = 327.29 m³ = 327.29 x (1m)³ = 327.29 x (100 cm)³ = 327.29 x 10⁶ cm³.

d = 1.225 x 10^-3 g/cm³.

Using these values in above formula we get,

m = (1.225 x 10^-3 g/cm³) x (327.29 x 10⁶ cm³)

cm³ unit cancell out.

m = 400.9 x 10³ g

m = 400.9 Kg ....... (10³ g = 1Kg)

Mass of gas in a room is 400.9 Kg.

But % Oxygen composition = 21%.

Hence,

Mass of Oxygen in room = (% Oxygen/100) x Total mass of gas in room

= (21/100) x 400.9

= 84.2 Kg.

There is 84.2 Kg of oxygen in the room.

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queen_honey_blossom answered 2 years ago

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