Question

A sample of gas occupies a volume of 55.3 L, has a temperature of 23.3 °C and a pressure of .658 atm. Calculate the number of moles of gas which are present in the sample. R= .0821 atm L/mol K

Answer 1

Answer: The number of moles of gas which are present in the sample are 1.49 mol.

Step-by-step explanation:

Given: Volume = 55.3 L

Temperature =
`23.3^(o)C` = (23.3 + 273) K = 296.3 K

Pressure = 0.658 atm

Formula used is as follows.

PV = nRT

where,

P = pressure

V = volume

n = no. of moles

R = gas constant = 0.0821 L atm/mol K

T = temperature

Substitute the values into above formula as follows.

`PV = nRT\\0.658 atm * 55.3 L = n * 0.0821 L atm/mol K * 296.3 K\\n = (0.658 atm * 55.3 L)/(0.0821 L atm/mol K * 296.3 K)\\= (36.3874)/(24.32623)\\= 1.49 mol`

Thus, we can conclude that the number of moles of gas which are present in the sample are 1.49 mol.