Temperature Calculation: A Fun Chemistry Challenge!
How can we calculate the temperature in a specific scenario?
Given the data, how do we determine the temperature at which 24.6 g of chlorine gas exert a pressure of 652 mmHg in a 8.5 L container?
Calculating the Temperature:
Let's embark on a delightful journey to determine the temperature using the provided information:
We will kick off by finding the number of moles of chlorine gas, Cl₂ in the container. The steps are as follows:
- Mass of chlorine gas, Cl₂ = 24.6 g
- Molar mass of chlorine gas, Cl₂ = 2 × 35.5 = 71 g/mol
- Moles of chlorine gas, Cl₂ =?
Moles = Mass / Molar mass
Moles of chlorine gas, Cl₂ = 24.6 / 71
Moles of chlorine gas, Cl₂ = 0.346 mol
Next, we will ascertain the temperature. Here is the process:
- Pressure (P) = 652 mmHg = 652 / 760 = 0.858 atm
- Volume (V) = 8.51 L
- Moles of chlorine gas, Cl₂ (n) = 0.346 mol
- Gas constant (R) = 0.0821 atm.L/Kmol
- Temperature (T) =?
PV = nRT
0.858 × 8.51 = 0.346 × 0.0821 × T
Divide both sides by (0.346 × 0.0821)
T = (0.858 × 8.51) / (0.346 × 0.0821)
T = 257 K
Subtract 273 to convert the temperature to °C
T = 257 - 273
T = -16 °C
Hooray! The temperature calculated is -16 °C. Let's celebrate this chemistry victory together!