Question

At constant pressure $200$ millilitres of a gas is heated from $0^{\circ }C$ to ${100}^{\circ }C$. To obtain the final volume, the initial volume should be multiplied with the factor ____________

• A. $373/273$
• B. $100/0$
• C. $0/100$
• D. $273/373$

Answer 1

The correct option is A $373/273$

At constant pressure 200 millilitres of a gas is heated from 0${}^{\circ }C$ to 100${}^{\circ }C$.
To obtain the final volume, the initial volume must be multiplied by $\frac{373}{273}$
According to Charles, law, at constant pressure, for a fixed amount of gas, the volume of a gas is directly proportional to absolute temperature.
The initial temperature $T=0$${}^{\circ }C$ = $273K$
The final temperature $T^{\prime }=100$ ${}^{\circ }C$ = $373K$
$\frac{V^{\prime }}{V}=\frac{T^{\prime }}{T}$
$\frac{V^{\prime }}{200}=\frac{373}{273}$
$V^{\prime }=200\times \frac{373}{273}$