Question

A mole of gas at 0.0oC and 760. torr occupies 22.4 L. What is the volume of this gas at 25.oC and 760. torr

Answer 1

Answer:

Explanation:

Given

Temperature of gas at First stage $T_1=0^{\circ}C\approx 273\ K$

Pressure of gas at First stage $P_1=760\ torr$

Volume Occupies $V_1=22.4\ L$

If the Pressure and Temperature at second stage is

$P_2=760\ torr$

$T_2=25^{\circ}C\approx 298\ K$

Using ideal gas Equation

$PV=nRT$

where P=Pressure

V=volume

R=Universal Gas constant

T=Temperature

n=no of moles

as n and R is constant therefore

$\frac{PV}{T}=constant$

thus $\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

$V_2=\frac{760}{760}\times \frac{298}{273}\times 22.4$

$V_2=24.45\ L$