Question

1.5 L of O2 gas at 273K is heated to 25 ºC if the pressure is held constant, what is the new volume of the gas?

Answer 1

Answer:

1.64 L

Explanation:

From the question we are given;

• Initial volume, V₁ as 1.5 L
• Initial temperature, T₁ as 273 K
• Final temperature, T₂ as 25° C

But, K = °C + 273

Therefore, final Temperature, T₁ = 25°C + 273

                                                       = 298 K

We are required to determine the new volume, V₂

• We are going to use Charles's law;

• According to Charles's law the volume of a fixed mass and the absolute temperature are directly proportional at constant pressure.

That is;

$V\alpha T$

Therefore;

$V=kT$

At varying temperature and Volume

$\frac{V_{1} }{T_1}=\frac{V_2}{T_2}$

Rearranging the formula;

$V_2=\frac{V_1T_2}{T_1} \\\\=\frac{(1.5 L)(298K)}{273K} \\=1.64 L$

Thus, the new volume is 1.64 L