A ballon is filled with 1.22 L of gas at 286 K is heated until the volume is 2.86 L while the pressure remains constant. What is the temperature of the gas in kelvin?

Respuesta :

Answer:

670.45 K

Explanation:

Given that,

Initial volume, V₁ = 1.22 L

Initial temperature, T₁ = 286 K

Final volume, V₂ =  2.86 L

We need to find the new temperature of the gas. The relation between the volume and the temperature is given by :

[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\\\\T_2=\dfrac{V_2T_1}{V_1}\\\\T_2=\dfrac{2.86\times 286}{1.22}\\\\T_2=670.45\ K[/tex]

So, the new temperature of the gas is equal to 670.45 K.