Question

f He gas has a pressure of 0.127 atm and a volume of 31.6 L Determine the temperature of the sample, in °C? Show all your work

Answer 1

The temperature of the sample is -128.14°C .

Step-by-step explanation:

1st) It is necessary to convert the1.35g of He gas to moles, using the molar mass of helium (4g/mol):

`1.35g*(1mol)/(4g)=0.3375moles`

Now we know that are 0.3375moles in 1.35g of He.

2nd) With the Ideal gases formula, we ca replace the values of pressure, volume and moles to find the temperature:

`\begin{gathered} P*V=n*R*T \\ 0.127atm*31.6L=0.3375mol*0.082(atm*L)/(mol*K)*T \\ 4.0132atm*L=0.027675(atm*L)/(K)*T \\ (4.0132atm*L)/(0.027675(atmL)/(K))=T \\ 145.01K=T \end{gathered}`

3rd) Finally, we can convert the temperature from K to °C:

`145.01-273.15=-128.14°C`

So, the temperature of the sample is -128.14°C.