Answer:
12.73 L
Explanation:
Given that,
Initial temperature, [tex]T_i=20^{\circ}=20+273=293\ K[/tex]
Initial volume, [tex]V_i=10\ L[/tex]
We need to find the volume on the gas when the tank is heated to 100 degrees celsius or 373 K.
We know that volume is directly proportional to the temperature of the gas. Using above relation,
[tex]\dfrac{V_i}{T_i}=\dfrac{V_f}{T_f}\\\\V_f=\dfrac{V_iT_f}{T_i}[/tex]
Putting all the values,
[tex]V_f=\dfrac{10\times 373}{293}\\\\V_f=12.73\ L[/tex]
So, the final volume of the gas is 12.73 L.
