A gas at \(10\,^{\circ}\text{C}\) occupies a volume of 283 mL. if it is heated to \(20\,^{\circ}\text{C}\) keeping the pressure constant. What is the new volume of gas ?
Show Hint
At constant pressure the volume is proportional to the Kelvin temperature.
Step 1: Use the volume change per kelvin:
For a gas at constant pressure, the volume changes by $\frac{1}{283}$ of its volume at 283 K (10 C) for every 1 K rise.
Step 2: Calculate:
Rise in temperature = 10 K.
\[ \Delta V = 283\times\frac{10}{283} = 10\text{ mL} \]
\[ V_2 = 283 + 10 = 293\text{ mL} \]
This is option (D).
Final Answer:
The gas occupies 293 mL.
\[ \boxed{293\text{ mL}} \]