Question

If the temperature of an ideal gas is doubled at constant pressure, what happens to its volume?

• A. It becomes half
• B. It doubles
• C. It becomes one-fourth
• D. It remains unchanged

Hint:

At constant pressure, volume and temperature of an ideal gas are directly proportional. This is known as Charles’s Law. If temperature increases, volume increases proportionally.

Answer 1

The Correct Option is B

The ideal gas law, \( PV = nRT \), governs this scenario.
When pressure \( P \) and moles \( n \) are held constant, the relationship simplifies to \( V \propto T \).
This direct proportionality signifies that volume scales linearly with temperature (measured in Kelvin).
Consequently, doubling the temperature, such that \( T_2 = 2T_1 \), leads to a doubling of the volume, \( V_2 = 2V_1 \).
For instance, if the initial temperature is \( 300\,K \) with volume \( V \), increasing the temperature to \( 600\,K \) will result in a volume of \( 2V \).