The air in a balloon with a volume of 25.0 liters is heated from 20° C to 60° C. If the pressure stays the same, what will be the new volume of the balloon​

Respuesta :

Answer:

New volume of the balloon will be 28.4 L.

Explanation:

As the amount of gas and pressure of the gas remains constant therefore in accordance with Charles's law:

                                          [tex]\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}[/tex]

where [tex]V_{1}[/tex] and [tex]V_{2}[/tex] are volume of gas at [tex]T_{1}[/tex] and [tex]T_{2}[/tex] temperature (in kelvin scale) respectively.

Here [tex]V_{1}=25.0L[/tex], [tex]T_{1}=(273+20)K=293K[/tex] and [tex]T_{2}=(273+60)K=333K[/tex]

So [tex]V_{2}=\frac{V_{1}T_{2}}{T_{1}}=\frac{(25.0L)\times (333K)}{293K}[/tex]  = 28.4 L

So new volume of the balloon will be 28.4 L.