A mass of 5.0 grams of dry ice,CO₂(s),is sealed in an evacuated 2.0 L plastic soda bottle.What is the pressure inside the bottle when the CO₂ is heated to 35°C?

Question

Quizplus · Accepted Answer

First, we use the ideal gas law: PV = nRT
To solve for the pressure inside the bottle, we need to know the number of moles of CO2 gas that will be produced when the dry ice is heated.
From the chemical equation:
CO2(s) → CO2(g)
We can see that 1 mole of dry ice will produce 1 mole of CO2 gas. So, we need to convert the mass of dry ice to moles of CO2:
5.0 g / 44.01 g/mol = 0.1135 mol CO2
Next, we need to calculate the final volume of the gas. The bottle is initially evacuated, so the final volume of gas will be equal to the volume of the bottle:
V = 2.0 L
We also need to convert the temperature to Kelvin:
T = 35°C + 273 = 308 K
Now, we can plug in these values and solve for pressure:
P = nRT/V
P = (0.1135 mol)(0.0821 L*atm/mol*K)(308 K)/(2.0 L)
P = 1.37 atm
The nearest answer choice is B, 1.4 atm, which is the correct answer.

A Mass of 5