Question

Calculate the approximate volume of a 0.600 mol sample of gas at 15.0 degrees Celsius and a pressure of 1.10 atm.

Answer 1

The approximate volume of the gas is 0.13L

Step-by-step explanation

Given data

The number of moles of the gas = 0.600 mol

The temperature of the gas = 15.00 degrees Celcius

The pressure of the gas = 1.10 atm

To find the volume of the gas, follow the steps below

Step 1: Assume the gas is an ideal gas

Since the gas is assumed as an ideal gas, hence we can use the ideal gas equation to find the volume of the gas.

The equation is written below as

`\text{ PV = nRT}`

Where,

P is the pressure of the gas'

V = volume of the gas

n is the number of moles

T is the temperature of the gas

R is the universal gas constant

Step 2: Convert the temperature to Kelvin

`\begin{gathered} \text{ t = 15}\degree C \\ \text{ T= t}\degree C\text{ + 273.15} \\ \text{ T = 15 + 273.15} \\ \text{ T = 288.15K} \end{gathered}`

Step 3: Substitute the given data into the formula in step 1

`\begin{gathered} \text{ Recall, that the universal constant R is 0.08205 L }atm\text{ mol}^-K^- \\ \text{ PV = n RT} \\ \text{ Isolave V in the above equation} \\ \text{ V = }(nRT)/(P) \\ V\text{ = }(0.600*0.08205*288.15)/(1.10) \\ \text{ V = }(14.1856245)/(1.10) \\ \text{ V = 0.12896 L} \\ V\approx\text{ 0.13L} \end{gathered}`

Hence, the approximate volume of the gas is 0.13L