Question

An ideal gas is heated from \(27^{\circ}\text{C}\) to \(627^{\circ}\text{C}\) at constant pressure. If initial volume of gas is \(4 \text{m}^3\), then the new volume of the gas will be

• A. \(12 \text{m}^3\)
• B. \(6 \text{m}^3\)
• C. \(3 \text{m}^3\)
• D. \(2 \text{m}^3\)

Hint:

Use Charles law with temperatures in kelvin.

Answer 1

The Correct Option is A

Step 1: Find the ratio of temperatures:
$\frac{T_2}{T_1} = \frac{900}{300} = 3$.

Step 2: Scale the volume:
The volume also triples: $4 \times 3 = 12$ m$^3$.

Final Answer:
$V_2 = 12$ m$^3$, option (A). \[ \boxed{12\ \text{m}^3} \]