Question

A balloon contains 5.5 l of air at 303 k and 101.3 kpa. After an hour, the air inside the balloon cools to 297 k. What is the final volume of the air in the balloon, assuming that it is an ideal gas and that the pressure does not change?

Answer 1

5.4 litre is the correct answer

Answer 2

Given :

A balloon contains 5.5 L of air at 303 K and 101.3 kpa.

To Find :

The final volume of the air in the balloon , when  balloon cools to 297 K .

Solution :

We know , by gas law :

PV = nRT

Therefore ,

$\dfrac{V}{T}=\dfrac{nR}{P}=Constant$  , because Pressure is constant here .

So ,

$\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}$

Putting all given values , we get :

$\dfrac{101.3}{303}=\dfrac{V_2}{297}\\\\V_2=\dfrac{297\times 101.3}{303}\\\\V_2=99.29\ kpa$

Learn More :

Thermodynamics

https://brainly.in/question/13149394