Question

if 400cm3 of oxygen is collected at a pressure of 980mmHg. What volume will the gas occupy if the pressure were changed to 940mmHg

Answer 1

The answer for the given problem is mentioned below.

• Therefore volume of the gas is 417 cm³.

Step-by-step explanation:

Given:

Pressure of oxygen (
`P_(1)`) = 980 mm of Hg

Pressure of unknown gas (
`P_(2)`) = 940 mm of Hg

Volume of oxygen (
`V_(1)`) = 400 cm³

To find:

Volume of unknown gas (
`V_(2)`)

We know;

According to the ideal gas equation;

P × V = n × R × T

where,

P represents the pressure of the gas

V represents the volume of the gas

n represents the no of moles of the gas

R represents the universal gas constant

T represents the temperature of the gas

From the above equation;

P×V = constant

P ∝
`(1)/(V)`

Therefore;

`(P_(1) )/(P_(2) )` =
`(V_(2) )/(V_(1) )`

where;

`(980)/(940)` =
`(V_(2) )/(400)`

`V_(2)` =
`(980 * 400)/(940)`

`V_(2)` = 417 cm³

Therefore volume of the gas is 417 cm³.