Question

0.884 mol sample of methane gas at a temperature of 6.00 C is found to occupy a volume of 26.5 L. The pressure of this gas sample is ____ mm Hg.

Answer 1

580mmHg

Step-by-step explanation:

Given parameters:

Number of moles = 0.884 mol

Temperature = 6°C = 273 + 6 = 279k

Volume = 26.5L

Unknown:

Pressure = ?

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

P =
`(nRT)/(V)` =
`(0.884 x 0.082 x 279)/(26.5)` = 0.76atm

1 atm = 760mmHg

0.76 atm = 760 x 0.76 = 580mmHg