Given that,
Volume of gas, V₁ = 200 mL
Initial temperature, T₁ = 27°C
Final temperature, T₂ = -33°C
To find,
New volume of the gas.
Solution,
Initial temperature, T₁ = 27°C = 300 K
Final temperature, T₂ = -33°C = 240 K
Let V₂ is the new volume.
The relation between volume and temperature is given by :
[tex]\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}\\\\V_2=\dfrac{V_1T_2}{T_1}\\\\=\dfrac{200\times 240}{300}\\\\=160\ mL[/tex]
Hence, the volume will be 160 mL.
