Question

Assume the temperature above is 250°C. What is the pressure of carbon dioxide if the temperature drops to 100°C?

Answer 1

The pressure of carbon dioxide, given that the temperature drops to 100 °C is 4.07 atm

How to calculate the pressure of carbon dioxide?

First, we shall list out the values of the various parameters given from the question. This is shown below:

• Initial pressure (P₁) = 5.7 atm
• Initial temperature (T₁) = 250 °C = 250 + 273 = 523 K
• New temperature (T₂) = 100 °C = 100 + 273 = 373 K
• New pressure (P₂) = ?

Now, we can calculate the pressure of the carbon dioxide. This is shown below:

`(P_1)/(T_1) = (P_2)/(T_2) \\\\(5.7)/(523) = (P_2)/(373)\\\\Cross\ multiply\\\\523\ *\ P_2 = 5.7\ *\ 373\\\\Divide\ both\ side\ by\ 523\\\\P_2 = (5.7\ *\ 373)/(523) \\\\P_2 = 4.07\ atm`

Therefore, the pressure of carbon dioxide is 4.07 atm

Complete question:

The decomposition of calcium carbonate occurs at a pressure of 5.7 atm as shown by the equation below:

CaCO3 -> CaO + CO2

Assume the temperature above is 250°C. What is the pressure of carbon dioxide if the temperature drops to 100°C?