If a balloon is filled with 7.6 L of air and the temp outiside is 56 degrees Celcius what would the new voulme be if the temp dropped to 15 degree celsius

Question

PLEASE HELP 

Answer 1

We are going to assume this is an ideal gas, and therefore use the ideal gas law PV=nRT.

 

Since the balloon is allowed to expand with the gas inside, the pressure does not change.

Since the balloon is closed and does not allow for any gas to escape or enter, the amount of gas does not change.

Since the gas inside the balloon is the same before and after, the gas constant does not change.

 

 

Dividing both sides by nRT yields:

 

(PV)/(nRT) = 1

 

Let V₁ and T₁ equal to the initial conditions of the balloon and V₂ and T₂ equal the final conditions of the balloon.

 

(PV₁)/(nRT₁) = (PV₂)/(nRT₂)

 

V₁/T₁ = V₂/T₂

 

Solve for V₂ (remember the temperature is in Kelvin)