Question

At 1.01 bar, how many moles of CO2 are released by raising the temperature of 1 litre of water from 20∘C to 25∘C

Answer 1

Answer: 0.0007 moles of $CO_2$ is released when temperature is raised.

Explanation:

To calculate the number of moles, we use the ideal gas equation, which is:

$PV=nRT$

where,

P = pressure of the gas = 1.01 bar

V = Volume of the gas = 1L

R = Gas constant = $0.08314\text{ L bar }mol^{-1}K^{-1}$

• Number of moles when T = 20° C

Temperature of the gas = 20° C = (273 + 20)K = 293K

Putting values in above equation, we get:

$1.01bar\times 1L=n_1\times 0.0814\text{ L bar }mol^{-1}K^{-1}\times 293K\\n_1=0.04146moles$

• Number of moles when T = 25° C

Temperature of the gas = 25° C = (273 + 25)K = 298K

Putting values in above equation, we get:

$1.01bar\times 1L=n_2\times 0.0814\text{ L bar }mol^{-1}K^{-1}\times 298K\\n_2=0.04076moles$

• Number of moles released = $n_1-n_2=0.04146-0.04076=0.0007moles$

Hence,  0.0007 moles of $CO_2$ is released when temperature is raised from 20° C to 25° C