Question

If the Kelvin temperature of a gas is tripled and the volume is doubled, the new pressure will be:

• A. $1/6$th of the original pressure
• B. $1/3$rd of the original pressure
• C. $2/3$rd of the original pressure
• D. $3/2$th of the original pressure
• E. $3$ times the original pressure

Answer 1

The correct option is D $3/2$th of the original pressure

$PV=nRT$

Now, $P^1=?$

$V^1=2Vn=n{T}^1=3K$

$\therefore P^1{V}^1=n{RT}^1$

$P^1\times 2V=nR3T$

$P^1=\frac{3}{2}\frac{nRT}{V}$

$P^1=\frac{3}{2}P$