Question

(PLEASE HELP 20 POINTS)

4.2 moles of an unknown gas at a pressure of 5.5 atm has a volume of 12.0 L.
What is the temperature?

Answer 1

Answer: The temperature of the unknown gas is 191.4 K.

Step-by-step explanation:

To calculate the temperature of the gas, we use ideal gas equation which is given as:

`PV=nRT` .......(1)

Where

P = pressure of the gas = 5.5 atm

V = volume of gas = 12.0 L

n = number of moles = 4.2 moles

R = Gas constant = 0.0821 L.atm/mol.K

T = temperature of the gas = ?

Putting values in equation 1:

`5.5atm* 12.0L=4.2mol* 0.0821L.atm/mol.K* T\\\\T=(5.5atm* 12.0L)/(4.2mol* 0.0821L.atm/mol.K)\\\\T=191.4K`

Hence, the temperature of the unknown gas is 191.4 K.