Question

A sample of carbon dioxide gas collected at a pressure of 880 mm Hg and a temperature of 303 K has a mass of 26.9 g. The volume of the sample is ______L.

Answer 1

13.1dm³

Step-by-step explanation:

Given parameters:

Pressure of gas = 880mmHg

760mmHg = 1 atm

880mmHg will give 1.16atm

Temperature = 303k

Mass of gas = 26.9g

Molar mass of CO₂ = 12 + 2(32) = 44g/mol

Number of moles = mass/molar mass = 26.9/44 = 0.61mole

Unknown:

Volume of the sample = ?

Solution:

To solve this problem, we use the ideal gas equation:

PV = nRT

P is the pressure

V is the volume

n is the number of moles

R is the gas constant = 0.082atmdm³mol⁻¹k⁻¹

T is the temperature

V =
`(nRT)/(P)` =
`(0.61 x 0.082 x 303)/(1.16)` = 13.1dm³