Answer:
[tex]546\ \text{cc}[/tex]
Explanation:
[tex]V_1[/tex] = Initial volume of gas = 600 cc
[tex]V_2[/tex] = Final volume of gas
[tex]T_1[/tex] = Initial temperature of gas = [tex](27+273.15)\ \text{K}[/tex]
[tex]T_2[/tex] = Final temperature of gas = [tex](0+273.15)\ \text{K}[/tex]
We know that
[tex]V\propto T[/tex]
So
[tex]\dfrac{V_2}{V_1}=\dfrac{T_2}{T_1}\\\Rightarrow V_2=V_1\dfrac{T_2}{T_1}\\\Rightarrow V_2=600\dfrac{0+273.15}{27+273.15}\\\Rightarrow V_2=546\ \text{cc}[/tex]
The volume of gas at the given temperature is [tex]546\ \text{cc}[/tex]