Question

Calculate the final volume of a gas, if the pressure of a gas, originally at s.t.p. it's doubled and is temperature is tripled.

Answer 1

Suppose the volume at STP to be V and pressure to be P and temperature to be T

Now, the number of moles of the gas X present

$n=\frac{PV}{RT}$

$PV=nRT$

Now, the second condition

$P_2=2P$

$T_2=3T$

Now, the volume

$V_2=\frac{nR{T}_2}{P_2}$

Now, substituting the value of $T_2$ and $P_2$

$V_2=\frac{nR{T}_2}{P_2}$

$V_2=\frac{PV}{T}\times \frac{3T}{2P}$

$V_2=\frac{3}{2}V$

$V_2=1.5V$

So, the final volume will be $1.5$ fold the original volume.