A balloon having an initial temperature of 17.8°C is heated so that the volume doubles while the pressure is kept fixed. What is the new value of the temperature?

Respuesta :

Answer:

[tex]T = 308.6 ^0 C[/tex]

Explanation:

Here by ideal gas equation we can say

[tex]PV = nRT[/tex]

now we know that pressure is kept constant here

so we will have

[tex]V = \frac{nR}{P} T[/tex]

since we know that number of moles and pressure is constant here

so we have

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

now we know that initial temperature is 17.8 degree C

and finally volume is doubled

So we have

[tex]\frac{2V}{V} = \frac{T_2}{(273 + 17.8)}[/tex]

so final temperature will be

[tex]T_2 = 581.6 k[/tex]

[tex]T_2 = 308.6 ^o C[/tex]

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