The volume of gas in a balloon is 1.90 L at 21.0o C. The balloon is heated, causing it to expand to a volume of 5.70 L. What is the new temperature of the gas inside the balloon?

Respuesta :

The new temperature of the gas inside the balloon : 609 °C

Further explanation

Charles's Law  

When the gas pressure is kept constant, the gas volume is proportional to the temperature  

[tex]\tt \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}[/tex]

The balloon is heated, causing it to expand (pressure constant) :

V₁=1.9 L

T=21+273=294 K

V₂=5.7 L

[tex]\tt T_2=\dfrac{T_1\times V_2}{V_1}\\\\T_2=\dfrac{294\times 5.7}{1.9}\\\\T_2=882 K=609 ^oC[/tex]