A sample of neon gas at a pressure of 0.571 atm and a temperature of 219 °C, occupies a volume of 604 mL. If the gas is heated at constant pressure until its volume is 838 mL, the temperature of the gas sample will be ______ °C.

Respuesta :

Answer:

409.67 °C

Explanation:

At constant pressure and temperature, using Charle's law  as:-

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

Given ,  

V₁ = 604 mL

V₂ = 838 mL

T₁ = 219 °C

T₂ = ?

The conversion of T( °C) to T(K) is shown below:

T(K) = T( °C) + 273.15  

So,  

T₁ = (219 + 273.15) K = 492.15 K  

Using above equation as:

[tex]\frac{604\ mL}{492.15\ K}=\frac{838\ mL}{T_2}[/tex]

[tex]T_2=\frac{838\times 492.15}{604}\ K=682.82\ K[/tex]

In Celsius, the temperature is:- 682.82-273.15 °C = 409.67 °C