Question

If five moles of a gas at a pressure of 5.4 kpa have a volume of 120 liters, what is the temperature?

Answer 1

The temperature is 15.58 kelvin

Solution:

Ideal gas equation is given as:

$PV = nRt$

Where,

P = pressure

V = volume

n = amount of substance

R = ideal gas constant

T = temperature

From given,

V = 120 liters

n = 5 moles

$R = 8.314\ \frac{Lkpa}{mol\ K}$

P = 5.4 kPa

T = ?

Therefore,

$5.4 \times 120 = 5 \times 8.314 \times T\\\\648 = 41.57 \times T\\\\T = 15.58\ kelvin$

Thus the temperature is 15.58 kelvin