A gas has the volume of 45mL at 25 C is heated to 50 C. What is the new volume of the gas? P1V1 = P2V2 V1/T1 = V2/T2 PV = nRT V1/T1 x V2/T2​

A gas has the volume of 45mL at 25 C is heated to 50 C What is the new volume of the gas P1V1 P2V2 V1T1 V2T2 PV nRT V1T1 x V2T2 class=

Respuesta :

Answer:

Option b (V1/T1 = V2/T2) is the right alternative or the new volume will be "0.048 L".

Explanation:

The given values are:

Temperature,

T₁ = 25°C

or,

   = 298.15 K

T₂ = 50°C

or,

    = 323.15 K

Volume,

V₁ = 45 mL

or,

    = 0.045 L

V₂ = ?

As we know,

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

Or,

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

On substituting the values, we get

⇒       [tex]=\frac{0.045\times 323.15}{298.15}[/tex]

⇒       [tex]=\frac{14.541}{298.15}[/tex]

⇒       [tex]=0.048 \ L[/tex]

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