Question

A sample of 240.0 K and 670 mm Hg occupies a 128 mL volume bottle. What volume will the gas occupy at -75 degrees celsius (If the pressure remains constant)?

Answer 1

Answer:

New volume = 105.6 mL

Explanation:

Given that,

Temperature, T = 240.0 K

Pressure, P = 670 mm Hg

Volume, V = 128 mL

New temperature = -75°C = 198 K

We need to find the new volume. Let it is V'. The relation between volume and the temperature is given by :

$V=kT\\\\\dfrac{V}{V'}=\dfrac{T}{T'}\\\\V'=\dfrac{VT'}{T}\\\\V'=\dfrac{128\times 198}{240}\\\\V'=105.6\ mL$

So, the new volume is equal to 105.6 mL.