# A 10,000*L volume of gas enclosed in a balloon at 298*K is heated to 338*K at constant pressure. What is the new volume?

Old Charles' Law holds that $V \propto T$ at constant pressure, and thus $V = k T$. Solving for $k$, ${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$......
and thus ${V}_{2} = {V}_{1} / {T}_{1} \times {T}_{2}$, temperature is specified to be on the $\text{Absolute scale........}$;
So ${V}_{2} = \frac{10 , 000 \cdot L}{298 \cdot K} \times 338 \cdot K \cong 11 \cdot {m}^{3}$