Question

A balloon is filled with 5 grams of helium gas. If the balloon takes up 10 mL of space and has a pressure of 20 mm Hg, which gas law needs to be used to find the temperature inside the balloon

Answer 1

We will use ideal gas law to find the temperature inside the balloon.

The temperature inside the balloon is 0.002564 K.

Step-by-step explanation:

We will use ideal gas law , given as :

PV = nRT

where,

P = Pressure of gas

V = Volume of gas

n = number of moles of gas

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

T = Temperature of gas

So,using ideal gas equation to find the temperature inside the balloon:

PV = nRT

where,

P = 20 mmHg =
`(20)/(760)atm=`

V = 10 mL = 0.010 L

n = =
`(5 g)/(4 g/mol)=1.25 mol`

R = 0.0821 L.atm/mol.K

T = Temperature of helium gas = ?

Putting values in above equation, we get:

`((20 )/(760)atm)* 0.010 L=1.25 * (0.0821L.atm/mol.K)* T`

`T=((20 )/(760)atm)* 0.010 L)/(1.25 mol* (0.0821L.atm/mol.K))=0.002564 K`

The temperature inside the balloon is 0.002564 K.