An ideal gas with a fixed number of molecules is maintained at a constant pressure. At 28 °C, the volume of the gas is 1.50 m3. What is the volume of the gas when the temperature increases to 75.0°C?

Respuesta :

Answer:[tex]1.73 m^3[/tex]

Explanation:

Given

Initial Temperature [tex]T_1=28^{\circ}C\approx 301 K[/tex]

Initial Volume [tex]V_1=1.5 m^3[/tex]

Pressure is constant P=c

Final Temperature [tex]T_f=75^{\circ}C\approx 348 K[/tex]

as Pressure is constant therefore

PV=nRT

i.e.

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

[tex]\frac{1.5}{301}=\frac{V_2}{348}[/tex]

[tex]V_2=1.73 m^3[/tex]  

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