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Q3 What is the temperature at which 80 cm3 of a gas should be heated
to increase its volume by 20% without changing the pressure? (Given that
the initial temperature of the gas is 25°C)​

Respuesta :

The final temperature of the gas : 84.6 °C

Further explanation

Charles's Law  

When the gas pressure is kept constant, the gas volume is proportional to the temperature  

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

T₁=initial temperature=25°C+273=298 K

V₁=initial volume=80 cm³

volume increment : 20% x 80 cm³=16 cm³

V₂ = Final volume = 80 cm³ + 16 cm³ = 96 cm³

So the final temperature :

[tex]\tt T_2=\dfrac{V_2\times T_1}{V_1}\\\\T_2=\dfrac{96\times 298}{80}\\\\T_2=357.6~K=84.6^oC[/tex]